Abdon Atangana
#88,752
Most Influential Person Now
Researcher
Abdon Atangana's AcademicInfluence.com Rankings
Abdon Atanganamathematics Degrees
Mathematics
#4327
World Rank
#6171
Historical Rank
Applied Mathematics
#71
World Rank
#83
Historical Rank
Measure Theory
#340
World Rank
#509
Historical Rank
Download Badge
Mathematics
Why Is Abdon Atangana Influential?
(Suggest an Edit or Addition)Abdon Atangana's Published Works
Published Works
- New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model (2016) (2132)
- Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order (2016) (669)
- Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative (2020) (499)
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation (2016) (447)
- A fractional epidemiological model for computer viruses pertaining to a new fractional derivative (2018) (374)
- New properties of conformable derivative (2015) (371)
- Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena (2018) (368)
- Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system (2017) (360)
- Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination? (2020) (335)
- Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties (2018) (303)
- New numerical approximation of fractional derivative with non-local and non-singular kernel: Application to chaotic models (2017) (283)
- Fractional derivatives with no-index law property: Application to chaos and statistics (2018) (269)
- Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu (2018) (234)
- Analysis of the Keller-Segel Model with a Fractional Derivative without Singular Kernel (2015) (228)
- Caputo-Fabrizio Derivative Applied to Groundwater Flow within Confined Aquifer (2017) (215)
- New numerical approach for fractional differential equations (2017) (214)
- Modeling attractors of chaotic dynamical systems with fractal–fractional operators (2019) (207)
- A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions (2013) (201)
- Numerical solution for the model of RLC circuit via the fractional derivative without singular kernel (2015) (173)
- Modeling and forecasting of epidemic spreading: The case of Covid-19 and beyond (2020) (158)
- Analysis of fractal fractional differential equations (2020) (137)
- Mathematical analysis of dengue fever outbreak by novel fractional operators with field data (2019) (135)
- New insight in fractional differentiation: power, exponential decay and Mittag-Leffler laws and applications (2017) (132)
- On the stability and convergence of the time-fractional variable order telegraph equation (2015) (132)
- Analysis of time-fractional hunter-saxton equation: a model of neumatic liquid crystal (2016) (129)
- Electrical circuits RC, LC, and RL described by Atangana–Baleanu fractional derivatives (2017) (124)
- The dynamics of COVID-19 with quarantined and isolation (2020) (124)
- Blind in a commutative world: Simple illustrations with functions and chaotic attractors (2018) (123)
- A new derivative with normal distribution kernel: Theory, methods and applications (2017) (116)
- A new application of fractional Atangana–Baleanu derivatives: Designing ABC-fractional masks in image processing (2020) (116)
- On the formulation of Adams-Bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems. (2019) (115)
- New model of groundwater flowing within a confine aquifer: application of Caputo-Fabrizio derivative (2015) (113)
- New fractional derivatives with non-singular kernel applied to the Burgers equation. (2018) (112)
- On the complex and hyperbolic structures of the longitudinal wave equation in a magneto-electro-elastic circular rod (2016) (109)
- Mathematical model of COVID-19 spread in Turkey and South Africa: theory, methods, and applications (2020) (108)
- Solving a system of fractional partial differential equations arising in the model of HIV infection of CD4+ cells and attractor one-dimensional Keller-Segel equations (2013) (107)
- Modelling and analysis of fractal-fractional partial differential equations: Application to reaction-diffusion model (2020) (106)
- Analysis of non-homogeneous heat model with new trend of derivative with fractional order (2016) (103)
- Fractional discretization: The African’s tortoise walk (2020) (102)
- Extension of the resistance, inductance, capacitance electrical circuit to fractional derivative without singular kernel (2015) (101)
- On the new fractional derivative and application to nonlinear Baggs and Freedman model (2016) (100)
- Facemasks simple but powerful weapons to protect against COVID-19 spread: Can they have sides effects? (2020) (100)
- Derivative with a New Parameter: Theory, Methods and Applications (2015) (92)
- A comparative study of convective fluid motion in rotating cavity via Atangana–Baleanu and Caputo–Fabrizio fractal–fractional differentiations (2020) (89)
- Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation (2016) (89)
- Can transfer function and Bode diagram be obtained from Sumudu transform (2020) (88)
- New fractional derivatives applied to the Korteweg–de Vries and Korteweg–de Vries–Burger’s equations (2018) (88)
- Some new edge detecting techniques based on fractional derivatives with non-local and non-singular kernels (2020) (87)
- The Time-Fractional Coupled-Korteweg-de-Vries Equations (2013) (86)
- Analysis and application of new fractional Adams–Bashforth scheme with Caputo–Fabrizio derivative (2017) (86)
- Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws (2018) (85)
- Controlling the wave movement on the surface of shallow water with the Caputo–Fabrizio derivative with fractional order (2016) (85)
- Fractal-fractional differentiation for the modeling and mathematical analysis of nonlinear diarrhea transmission dynamics under the use of real data (2020) (81)
- A generalized groundwater flow equation using the concept of variable-order derivative (2013) (81)
- New concept in calculus: Piecewise differential and integral operators (2021) (79)
- Numerical computation of a fractional derivative with non-local and non-singular kernel (2016) (79)
- Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws (2017) (78)
- Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense (2017) (78)
- Application of stationary wavelet entropy in pathological brain detection (2018) (76)
- Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative (2019) (75)
- First integral method for non-linear differential equations with conformable derivative (2018) (73)
- Solutions of Cattaneo-Hristov model of elastic heat diffusion with Caputo-Fabrizio and Atangana-Baleanu fractional derivatives (2017) (72)
- Modelling the Spread of River Blindness Disease via the Caputo Fractional Derivative and the Beta-derivative (2016) (71)
- Numerical solution of fractional-in-space nonlinear Schrödinger equation with the Riesz fractional derivative (2016) (70)
- A novel model for the lassa hemorrhagic fever: deathly disease for pregnant women (2015) (67)
- Modeling and forecasting the spread of COVID-19 with stochastic and deterministic approaches: Africa and Europe (2021) (67)
- Role of non-integer and integer order differentiations on the relaxation phenomena of viscoelastic fluid (2020) (66)
- Thermal stratification of rotational second-grade fluid through fractional differential operators (2020) (64)
- On the Mathematical Analysis of Ebola Hemorrhagic Fever: Deathly Infection Disease in West African Countries (2014) (64)
- Fractional Calculus and Its Applications in Applied Mathematics and Other Sciences (2014) (61)
- Mathematical analysis of memristor through fractal‐fractional differential operators: A numerical study (2020) (60)
- On Generalized Fractional Kinetic Equations Involving Generalized Bessel Function of the First Kind (2015) (60)
- The Use of Fractional Order Derivative to Predict the Groundwater Flow (2013) (60)
- Extension of Matched Asymptotic Method to Fractional Boundary Layers Problems (2014) (59)
- Dynamics of Ebola Disease in the Framework of Different Fractional Derivatives (2019) (58)
- Stability and convergence of the space fractional variable-order Schrödinger equation (2013) (58)
- New numerical method for ordinary differential equations: Newton polynomial (2020) (57)
- New numerical method for ordinary differential equations: Newton polynomial (2020) (57)
- Numerical Methods for Fractional Differentiation (2019) (56)
- Validity of fractal derivative to capturing chaotic attractors (2019) (55)
- Nonlinear equations with global differential and integral operators: Existence, uniqueness with application to epidemiology (2020) (54)
- Chaotic behaviour in system of noninteger-order ordinary differential equations (2018) (53)
- Robustness of fractional difference schemes via the Caputo subdiffusion-reaction equations (2018) (53)
- A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana–Baleanu–Caputo derivative (2019) (51)
- Differential and integral operators with constant fractional order and variable fractional dimension (2019) (50)
- Derivative with two fractional orders: A new avenue of investigation toward revolution in fractional calculus (2016) (49)
- Numerical Simulation of Noninteger Order System in Subdiffusive, Diffusive, and Superdiffusive Scenarios (2017) (49)
- Strange chaotic attractors under fractal-fractional operators using newly proposed numerical methods (2019) (48)
- Numerical simulations of chaotic and complex spatiotemporal patterns in fractional reaction–diffusion systems (2018) (48)
- A new numerical approximation of the fractal ordinary differential equation (2018) (48)
- Mathematical model of survival of fractional calculus, critics and their impact: How singular is our world? (2021) (47)
- Analytical and numerical schemes for a derivative with filtering property and no singular kernel with applications to diffusion (2016) (46)
- Trinition the complex number with two imaginary parts: Fractal, chaos and fractional calculus (2019) (44)
- Fractional calculus with power law: The cradle of our ancestors⋆ (2019) (44)
- Heat and mass transfer in Maxwell fluid in view of local and non-local differential operators (2020) (44)
- Analysis of exact groundwater model within a confined aquifer: New proposed model beyond the Theis equation (2018) (43)
- A novel Covid-19 model with fractional differential operators with singular and non-singular kernels: Analysis and numerical scheme based on Newton polynomial (2021) (42)
- Analytical Solution of the Groundwater Flow Equation obtained via Homotopy Decomposition Method (2012) (42)
- Time-fractional variable-order telegraph equation involving operators with Mittag-Leffler kernel (2018) (42)
- Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes (2013) (42)
- The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations (2013) (42)
- Optimal control for cancer treatment mathematical model using Atangana–Baleanu–Caputo fractional derivative (2020) (42)
- Computational study of multi-species fractional reaction-diffusion system with ABC operator (2019) (41)
- Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operator (2020) (41)
- New lump, lump-kink, breather waves and other interaction solutions to the (3+1)-dimensional soliton equation (2020) (40)
- A comparative analysis of electromechanical model of piezoelectric actuator through Caputo–Fabrizio and Atangana–Baleanu fractional derivatives (2020) (40)
- Fractal advection-dispersion equation for groundwater transport in fractured aquifers with self-similarities (2018) (40)
- Groundwater Pollution (2018) (40)
- A numerical schemes and comparisons for fixed point results with applications to the solutions of Volterra integral equations indislocatedextendedb-metricspace (2020) (40)
- Nonlinear Fractional Jaulent-Miodek and Whitham-Broer-Kaup Equations within Sumudu Transform (2013) (39)
- Analytical Solutions of a Space-Time Fractional Derivative of Groundwater Flow Equation (2014) (39)
- Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators (2017) (39)
- Fractional stochastic modeling: New approach to capture more heterogeneity. (2019) (38)
- Computational Analysis of the Model Describing HIV Infection of CD4+T Cells (2014) (38)
- A Note on the Triple Laplace Transform and Its Applications to Some Kind of Third-Order Differential Equation (2013) (38)
- Analytical Solutions of the Space-Time Fractional Derivative of Advection Dispersion Equation (2013) (38)
- The role of power decay, exponential decay and Mittag-Leffler function’s waiting time distribution: Application of cancer spread (2018) (38)
- Extension of rate of change concept: From local to nonlocal operators with applications (2020) (37)
- A fractional mathematical model of breast cancer competition model (2019) (37)
- Reliability analysis incorporating exponentiated inverse Weibull distribution and inverse power law (2021) (36)
- New two step Laplace Adam‐Bashforth method for integer a noninteger order partial differential equations (2017) (36)
- New numerical approximation for Chua attractor with fractional and fractal-fractional operators (2020) (35)
- New numerical method and application to Keller-Segel model with fractional order derivative (2018) (34)
- Modeling third waves of Covid-19 spread with piecewise differential and integral operators: Turkey, Spain and Czechia (2021) (32)
- Numerical Study and Chaotic Analysis of Meminductor and Memcapacitor Through Fractal–Fractional Differential Operator (2020) (32)
- Convergence and stability analysis of a novel iteration method for fractional biological population equation (2014) (32)
- On the dynamics of fractional maps with power-law, exponential decay and Mittag–Leffler memory (2019) (31)
- Model of Break-Bone Fever via Beta-Derivatives (2014) (31)
- Modelling and formation of spatiotemporal patterns of fractional predation system in subdiffusion and superdiffusion scenarios (2018) (30)
- Application of Fractional Calculus to Epidemiology (2015) (30)
- Modeling the spread of Rubella disease using the concept of with local derivative with fractional parameter : Beta-Derivative (2016) (29)
- Porous effects on the fractional modeling of magnetohydrodynamic pulsatile flow: an analytic study via strong kernels (2020) (29)
- New direction in fractional differentiation (2017) (29)
- Numerical and mathematical analysis of induction motor by means of AB–fractal–fractional differentiation actuated by drilling system (2020) (28)
- Dual fractional modeling of rate type fluid through non‐local differentiation (2020) (28)
- Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller–Segel equations (2015) (28)
- Fractional Hunter-Saxton equation involving partial operators with bi-order in Riemann-Liouville and Liouville-Caputo sense (2017) (28)
- Fractional Derivatives with the Power-Law and the Mittag–Leffler Kernel Applied to the Nonlinear Baggs–Freedman Model (2018) (28)
- Mathematical modeling and analysis of COVID-19: A study of new variant Omicron (2022) (28)
- A fractional model for predator-prey with omnivore. (2019) (27)
- Modeling the potential energy field caused by mass density distribution with Eton approach (2016) (27)
- A fractional order optimal 4D chaotic financial model with Mittag-Leffler law (2020) (27)
- Application of fixed point theorem for stability analysis of a nonlinear Schrodinger with Caputo-Liouville derivative (2017) (27)
- Analysis of a new partial integro-differential equation with mixed fractional operators (2019) (27)
- A Possible Generalization of Acoustic Wave Equation Using the Concept of Perturbed Derivative Order (2013) (25)
- Application of statistical method on thermal resistance and conductance during magnetization of fractionalized free convection flow (2020) (24)
- Models of fluid flowing in non-conventional media: New numerical analysis (2020) (24)
- Thermophysical properties of Maxwell Nanofluids via fractional derivatives with regular kernel (2020) (24)
- Couette flows of a viscous fluid with slip effects and non-integer order derivative without singular kernel (2019) (24)
- Chaos on the Vallis Model for El Niño with Fractional Operators (2016) (24)
- An operational matrix method for nonlinear variable-order time fractional reaction–diffusion equation involving Mittag-Leffler kernel (2020) (24)
- On solutions of fractal fractional differential equations (2021) (24)
- New Class of Boundary Value Problems (2012) (24)
- Approximate Solution of Tuberculosis Disease Population Dynamics Model (2013) (23)
- On a more general fractional integration by parts formulae and applications (2019) (23)
- Drawdown in prolate spheroidal-spherical coordinates obtained via Green's function and perturbation methods (2014) (23)
- Chebyshev polynomials for the numerical solution of fractal–fractional model of nonlinear Ginzburg–Landau equation (2019) (22)
- Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations (2021) (22)
- A model of the groundwater flowing within a leaky aquifer using the concept of local variable order derivative (2015) (22)
- Stability Analysis of Nonlinear Thin Viscous Fluid Sheet Flow Equation with Local Fractional Variable Order Derivative (2016) (22)
- A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment (2020) (22)
- Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions (2017) (22)
- A new nonlinear triadic model of predator–prey based on derivative with non-local and non-singular kernel (2016) (21)
- Modelling groundwater fractal flow with fractional differentiation via Mittag-Leffler law (2017) (21)
- Numerical treatment of the strongly coupled nonlinear fractal-fractional Schrödinger equations through the shifted Chebyshev cardinal functions (2020) (21)
- Modeling the spread of computer virus via Caputo fractional derivative and the beta-derivative (2017) (21)
- A novel approach of variable order derivative Theory and Methods (2016) (21)
- New chaotic attractors: Application of fractal‐fractional differentiation and integration (2020) (21)
- High-order solvers for space-fractional differential equations with Riesz derivative (2019) (21)
- Numerical solution of nonlinear fractal‐fractional optimal control problems by Legendre polynomials (2020) (21)
- Extension of Atangana-Seda numerical method to partial differential equations with integer and non-integer order (2020) (21)
- Ulam–Hyers–Rassias stability for nonlinear Ψ-Hilfer stochastic fractional differential equation with uncertainty (2020) (20)
- Mathematical Analysis of Memristor through Fractal-Fractional Differential Operator: A Numerical Study (2020) (20)
- A robust study of a piecewise fractional order COVID-19 mathematical model (2021) (20)
- Model of Thin Viscous Fluid Sheet Flow within the Scope of Fractional Calculus: Fractional Derivative with and No Singular Kernel (2017) (20)
- Editorial: Fractional differential and integral operators with non-singular and non-local kernel with application to nonlinear dynamical systems (2020) (20)
- Spatiotemporal Dynamics of Fractional Predator–Prey System with Stage Structure for the Predator (2017) (20)
- Analysis of a new model of H1N1 spread: Model obtained via Mittag-Leffler function (2017) (19)
- Stability and Convergence of a Time-Fractional Variable Order Hantush Equation for a Deformable Aquifer (2013) (19)
- An optimization method based on the generalized Lucas polynomials for variable-order space-time fractional mobile-immobile advection-dispersion equation involving derivatives with non-singular kernels (2020) (18)
- Error estimates of a semidiscrete finite element method for fractional stochastic diffusion‐wave equations (2018) (18)
- Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind (2013) (18)
- The Caputo-Fabrizio fractional derivative applied to a singular perturbation problem (2019) (18)
- Analysis of 3D IS-LM macroeconomic system model within the scope of fractional calculus (2019) (17)
- Solving Partial Differential Equation with Space- and Time-Fractional Derivatives via Homotopy Decomposition Method (2013) (17)
- Analytical Solution of Space-Time Fractional Fokker-Planck Equation by Homotopy Perturbation Sumudu Transform Method (2015) (17)
- Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System (2017) (17)
- More generalized groundwater model with space‐time caputo Fabrizio fractional differentiation (2016) (17)
- Fractional stochastic modelling illustration with modified Chua attractor (2019) (16)
- Solving fractional pantograph delay equations by an effective computational method (2020) (16)
- On the Singular Perturbations for Fractional Differential Equation (2014) (16)
- On Multi-Laplace Transform for Solving Nonlinear Partial Differential Equations with Mixed Derivatives (2014) (16)
- On the Generalized Mass Transport Equation to the Concept of Variable Fractional Derivative (2014) (16)
- Chapter 2 – Local derivative with new parameter (2016) (16)
- Exact solution of the time-fractional groundwater flow equation within a leaky aquifer equation (2016) (15)
- Analysis and pattern formation scenarios in the superdiffusive system of predation described with Caputo operator (2021) (15)
- Modelling the advancement of the impurities and the melted oxygen concentration within the scope of fractional calculus (2014) (15)
- Tumour model with intrusive morphology, progressive phenotypical heterogeneity and memory (2018) (15)
- Analytical Solutions of Boundary Values Problem of 2D and 3D Poisson and Biharmonic Equations by Homotopy Decomposition Method (2013) (15)
- Mathematical Modeling of an Autonomous Nonlinear Dynamical System for Malaria Transmission Using Caputo Derivative (2020) (15)
- MHD Oldroyd-B Fluid with Slip Condition in view of Local and Nonlocal Kernels (2020) (15)
- On a new type of fractional difference operators on h-step isolated time scales (2021) (15)
- A Novel Integral Operator Transform and Its Application to Some FODE and FPDE with Some Kind of Singularities (2013) (14)
- Solitary wave solution and conservation laws of higher dimensional Zakharov‐Kuznetsov equation with nonlinear self‐adjointness (2018) (14)
- A Generalized Version of a Low Velocity Impact between a Rigid Sphere and a Transversely Isotropic Strain-Hardening Plate Supported by a Rigid Substrate Using the Concept of Noninteger Derivatives (2013) (14)
- Model of Coupled System of Fractional Reaction-Diffusion Within a New Fractional Derivative Without Singular Kernel (2019) (13)
- Strange Attractors and Optimal Analysis of Chaotic Systems based on Fractal verses Fractional Differential Operators (2021) (13)
- Dynamics of traveling waves of variable order hyperbolic Liouville equation: Regulation and control (2020) (13)
- LOCAL AND NONLOCAL DIFFERENTIAL OPERATORS: A COMPARATIVE STUDY OF HEAT AND MASS TRANSFERS IN MHD OLDROYD-B FLUID WITH RAMPED WALL TEMPERATURE (2020) (13)
- Role of bi-order Atangana–Aguilar fractional differentiation on Drude model: an analytic study for distinct sources (2021) (13)
- A note on Cattaneo-Hristov model with non-singular fading memory (2017) (13)
- CAUCHY PROBLEMS WITH FRACTAL–FRACTIONAL OPERATORS AND APPLICATIONS TO GROUNDWATER DYNAMICS (2020) (12)
- Some misinterpretations and lack of understanding in differential operators with no singular kernels (2020) (12)
- Analysis of New Trends of Fractional Differential Equations (2020) (12)
- Modelling the Nonlinear Wave Motion within the Scope of the Fractional Calculus (2014) (12)
- Mathematical and numerical optimality of non-singular fractional approaches on free and forced linear oscillator (2020) (12)
- Exact Solutions Fractional Heat-Like and Wave-Like Equations with Variable Coefficients (2013) (11)
- Capturing complexities with composite operator and differential operators with non-singular kernel. (2019) (11)
- Soliton solutions, soliton-type solutions and rational solutions for the coupled nonlinear Schrödinger equation in magneto-optic waveguides (2021) (11)
- Hybrid Watermarking Algorithm using Finite Radon and Fractional Fourier Transform (2017) (11)
- Chebyshev wavelets operational matrices for solving nonlinear variable-order fractional integral equations (2020) (11)
- New iteration methods for time fractional modified nonlinear kawahara equation (2014) (11)
- MHD‐free Convection Flow Over a Vertical Plate with Ramped Wall Temperature and Chemical Reaction in View of Nonsingular Kernel (2020) (11)
- Conservatory of Kaup-Kupershmidt Equation to the Concept of Fractional Derivative with and without Singular Kernel (2018) (10)
- New multi-scroll attractors obtained via Julia set mapping (2020) (10)
- Analysis of Lassa hemorrhagic fever model with non-local and non-singular fractional derivatives (2018) (10)
- On the solution of an acoustic wave equation with variable-order derivative loss operator (2013) (10)
- A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation (2020) (10)
- A new financial chaotic model in Atangana-Baleanu stochastic fractional differential equations (2021) (10)
- Certain fractional kinetic equations involving generalizedk-Bessel function (2017) (10)
- Ferromagnetic Chaos in thermal convection of fluid through fractal–fractional differentiations (2022) (10)
- Augmented upwind numerical schemes for a fractional advection-dispersion equation in fractured groundwater systems (2020) (10)
- Derivation of a groundwater flow model within leaky and self-similar aquifers: Beyond Hantush model (2018) (9)
- Focus Point on Modelling Complex Real-World Problems with Fractal and New Trends of Fractional Differentiation (2018) (9)
- Bifurcation analysis of an age‐structured prey–predator model with infection developed in prey (2021) (9)
- On the stability of iteration methods for special solution of time-fractional generalized nonlinear ZK-BBM equation (2016) (9)
- ATANGANA–SEDA NUMERICAL SCHEME FOR LABYRINTH ATTRACTOR WITH NEW DIFFERENTIAL AND INTEGRAL OPERATORS (2020) (9)
- On analysis generalization of TB-HIV dynamics by a two-scale reduction process (2021) (9)
- Numerical analysis of time fractional three dimensional diffusion equation (2015) (9)
- Integral-Balance Methods for the Fractional Diffusion Equation Described by the Caputo-Generalized Fractional Derivative (2019) (9)
- An analytic study of bioheat transfer Pennes model via modern non-integers differential techniques (2021) (9)
- Analysis of electron acoustic waves interaction in the presence of homogeneous unmagnetized collision-free plasma (2021) (9)
- Some exact explicit solutions and conservation laws of Chaffee-Infante equation by Lie symmetry analysis (2021) (9)
- A new approach to capture heterogeneity in groundwater problem: An illustration with an Earth equation (2019) (9)
- Generalised class of Time Fractional Black Scholes equation and numerical analysis (2019) (8)
- Power and exponentials laws: Theory and application (2019) (8)
- An efficient numerical approach for fractional diffusion partial differential equations (2020) (8)
- Advanced analysis in epidemiological modeling: Detection of wave (2021) (8)
- A New Numerical Approximation of Fractional Differentiation: Upwind Discretization for Riemann-Liouville and Caputo Derivatives (2018) (8)
- Mathematical Modelling and Analysis of Fractional Epidemic Models Using Derivative with Exponential Kernel (2020) (8)
- Competition model in groundwater: Three boreholes taping water out from same aquifer (2019) (8)
- Closing editorial: Forecasting of epidemic spreading: lessons learned from the current covid-19 pandemic (2020) (8)
- Extension of fragmentation process in a kinetic-diffusive-wave system (2015) (7)
- SOLUTION OF DIFFUSION EQUATION WITH LOCAL DERIVATIVE WITH NEW PARAMETER (2015) (7)
- Partial Fractional Equations and Their Applications (2015) (7)
- New numerical analysis of Riemann-Liouville time-fractional Schrödinger with power, exponential decay, and Mittag-Leffler laws (2017) (7)
- Fractal Fractional Derivative Operator Method on MCF-7 Cell Line Dynamics (2022) (7)
- A novel double integral transform and its applications (2016) (7)
- Predictor–corrector for non-linear differential and integral equation with fractal–fractional operators (2020) (7)
- Electromagnetic waves described by a fractional derivative of variable and constant order with non singular kernel (2021) (7)
- Mathematical Modeling and Soft Computing in Epidemiology (2020) (7)
- New groundwater flow equation with its exact solution (2016) (7)
- Numerical solution of ABC space–time fractional distributed order reaction–diffusion equation (2020) (7)
- Dynamical behavior of fractionalized simply supported beam: An application of fractional operators to Bernoulli-Euler theory (2021) (7)
- Deterministic-Stochastic modeling: A new direction in modeling real world problems with crossover effect. (2022) (7)
- Generalized groundwater plume with degradation and rate-limited sorption model with Mittag-Leffler law (2017) (7)
- Fractional Adams-Bashforth scheme with the Liouville-Caputo derivative and application to chaotic systems (2021) (6)
- Stochastic Risk and Uncertainty Analysis for Shale Gas Extraction in the Karoo Basin of South Africa (2014) (6)
- A numerical method for nonlinear fractional reaction–advection–diffusion equation with piecewise fractional derivative (2022) (6)
- On the hamilton–jacobi–bellman equation by the homotopy perturbation method (2014) (6)
- Chaotic characteristics of thermal convection at smaller verse larger Prandtl number through fractal and fractional differential operators from nanofluid (2022) (6)
- Necessary and Sufficient Optimality Conditions for Fractional Problems Involving Atangana–Baleanu’s Derivatives (2019) (6)
- Applying the Forchheimer equation to model an artificially recharged fractured aquifer (2020) (6)
- A generalized advection dispersion equation (2014) (6)
- On the fuzzy stability results for fractional stochastic Volterra integral equation (2021) (5)
- On the formulation of fractional Adams-Bashforth method with Atangana-Baleanu-Caputo derivative to model chaotic problems (2021) (5)
- New approach to groundwater recharge on a regional scale: uncertainty analysis and application of fractional differentiation (2019) (5)
- Pata type contractions involving rational expressions with an application to integral equations (2021) (5)
- Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel (2017) (5)
- Supernonlinear wave, associated analytical solitons, and sensitivity analysis in a two-component Maxwellian plasma (2022) (5)
- Review of Fractional Differentiation (2019) (5)
- Super-criticism of electrochemical double layer capacitor for diffusion phenomenon: A fractional application of ultracapacitor (2021) (5)
- Modulating Chaotic Oscillations in Autocatalytic Reaction Networks Using Atangana–Baleanu Operator (2019) (5)
- Novel Approach for Dealing with Partial Differential Equations with Mixed Derivatives (2014) (5)
- Numerical analysis for the Klein-Gordon equation with mass parameter (2017) (5)
- Numerical study of multi-order fractional differential equations with constant and variable coefficients (2022) (5)
- Comparison of two iteration methods for solving nonlinear Fractional Partial Differential Equations (5)
- Fractional Operators and Their Applications (2018) (4)
- New fractional derivatives applied to the Korteweg–de Vries and Korteweg–de Vries–Burger’s equations (2018) (4)
- An accurate approach based on the orthonormal shifted discrete Legendre polynomials for variable-order fractional Sobolev equation (2021) (4)
- Augmented upwind numerical schemes for the groundwater transport advection‐dispersion equation with local operators (2018) (4)
- New insights on novel coronavirus 2019-nCoV/SARS-CoV-2 modelling in the aspect of fractional derivatives and fixed points. (2021) (4)
- Principle of Groundwater Flow (2018) (4)
- Modelling the Aggregation Process of Cellular Slime Mold by the Chemical Attraction (2014) (4)
- New Model for Process of Phase Separation in Iron Alloys (2018) (4)
- Modelling the oxygen diffusion equation within the scope of fractional calculus (2019) (4)
- Bifurcation analysis for a double age dependence epidemic model with two delays (2022) (4)
- A piecewise heat equation with constant and variable order coefficients: A new approach to capture crossover behaviors in heat diffusion (2022) (3)
- Application of stationary wavelet entropy in pathological brain detection (2016) (3)
- Chapter 1 – History of derivatives from Newton to Caputo (2016) (3)
- Shifted Jacobi polynomials for nonlinear singular variable-order time fractional Emden–Fowler equation generated by derivative with non-singular kernel (2021) (3)
- Numerical Analysis of a Chaotic Model with Fractional Differential Operators: From Caputo to Atangana–Baleanu (2019) (3)
- Chaos control and characterization of brushless DC motor via integral and differential fractal-fractional techniques (2022) (3)
- New optical solitons of fractional nonlinear Schrodinger equation with the oscillating nonlinear coefficient: A comparative study (2022) (3)
- Huge analysis of Hepatitis C model within the scope of fractional calculus (2016) (3)
- Modelling the movement of groundwater pollution with variable order derivative (2017) (3)
- Rhythmic behaviors of the human heart with piecewise derivative. (2022) (3)
- ON MODELING THE GROUNDWATER FLOW WITHIN A CONFINED AQUIFER (2015) (3)
- Qualitative analysis of solutions of obstacle elliptic inclusion problem with fractional Laplacian (2021) (3)
- Fractional and fractal advection-dispersion model (2021) (2)
- Existence and Uniqueness Results for a Novel Complex Chaotic Fractional Order System (2019) (2)
- Fractional Dynamics of HIV-AIDS and Cryptosporidiosis with Lognormal Distribution (2020) (2)
- Numerical solution of fractional-in-space nonlinear Schrödinger equation with the Riesz fractional derivative (2016) (2)
- A generic assessment of waste disposal at Douala City practice, prinicipals and uncertainties (2013) (2)
- On the Agaciro Equation via the Scope of Green Function (2014) (2)
- Analysis of a derivative with two variable orders (2022) (2)
- Modeling the Spread of Tuberculosis with Piecewise Differential Operators (2022) (2)
- Numerical solutions of Fourier's law involving fractional derivatives with bi-order (2017) (2)
- Filament Winding of Ellipsoidal Structures (2004) (2)
- New nonlinear model of population growth (2017) (2)
- Hydro-geochemical characterizations of a platinum group element groundwater system in Africa (2018) (2)
- Thermal and concentration diffusion impacts on MHD Maxwell fluid: A generalized Fourier's and Fick's perspective (2022) (2)
- EXISTENCE RESULTS AND NUMERICAL STUDY ON NOVEL CORONAVIRUS 2019-NCOV/SARS-COV-2 MODEL USING DIFFERENTIAL OPERATORS BASED ON THE GENERALIZED MITTAG-LEFFLER KERNEL AND FIXED POINTS (2022) (2)
- Chebyshev polynomials for the numerical solution of fractal–fractional model of nonlinear Ginzburg–Landau equation (2019) (2)
- Upwind-Based Numerical Approximation of a Space-Time Fractional Advection-Dispersion Equation for Groundwater Transport Within Fractured Systems (2019) (2)
- Analytical solutions for the recovery tests after constant-discharge tests in confined aquifers (2014) (2)
- Comparative Analysis of Statistical and Fractional Approaches for Thermal Conductance Through Suspension of Ethylene Glycol Nanofluid (2022) (2)
- On the Nonlinear Perturbation Rosenau-Hyman Equation: A Model of Nonlinear Scattering Wave (2015) (2)
- Finite Difference Approximations (2019) (2)
- A Modified Groundwater Flow Model Using the Space Time Riemann-Liouville Fractional Derivatives Approximation (2014) (2)
- New numerical scheme of Atangana-Baleanu fractional integral: an application to groundwater flow within leaky aquifer (2016) (2)
- A possible modification of groundwater flow equation using coordinate transformations (2015) (2)
- Modelling of fractal flow in dual media with fractional differentiation with power and generalized Mittag-Leffler laws kernels (2017) (2)
- Mathematical analysis of a fractional-order epidemic model with nonlinear incidence function (2021) (2)
- Applications of Fractional Calculus to Modeling in Dynamics and Chaos (2022) (1)
- Derivative with two fractional orders: New door of investigation toward revolution in fractional calculus (2016) (1)
- New non-linear model of groundwater recharge: Inclusion of memory, heterogeneity and visco-elasticity (2017) (1)
- On the Fractional Nagumo Equation with Nonlinear Diffusion and Convection (2014) (1)
- Mathematical model of survival of fractional calculus, critics and their impact: How singular is our world? (2021) (1)
- Some stochastic chaotic attractors with global derivative and stochastic fractal mapping: Existence, uniqueness and applications (2021) (1)
- Analysis of a deterministic-stochastic oncolytic M1 model involving immune response via crossover behaviour: ergodic stationary distribution and extinction (2023) (1)
- Shifted Vieta‐Fibonacci polynomials for the fractal‐fractional fifth‐order KdV equation (2021) (1)
- A generalized groundwater flow equation using the concept of variable-order derivative (2013) (1)
- On the Nonlinear Perturbation K(n,m) Rosenau-Hyman Equation: A Model of Nonlinear Scattering Wave (2015) (1)
- Preface: New trends on numerical analysis and analytical methods with their applications to real world problems (2019) (1)
- On Uncertain-Fractional Modeling: The Future Way of Modeling Real-World Problems (2017) (1)
- Application of the Fractional-Stochastic Approach to a Saturated–Unsaturated Zone Model (2022) (1)
- Corrigendum to "New numerical method for ordinary differential equations: Newton polynomial" [J. Comput. Appl. Math. (2019) 112622] (2020) (1)
- Regularity of a General Parabolic Equation With Fractional Differentiation (2018) (1)
- Modeling the Enzyme Kinetic Reaction (2015) (1)
- Modelling the Formation of Liver Zones within the Scope of Fractional Order Derivative (2014) (1)
- Time Fractional Analysis of Casson Fluid with Rabotnov Exponential Memory Based on the Generalized Fourier and Fick’s Law (2022) (1)
- New insight in fractional differentiation: power, exponential decay and Mittag-Leffler laws and applications (2017) (1)
- Retraction: "A fractional model for predator-prey with omnivore" [Chaos, 29, 013136 (2019)]. (2020) (1)
- Two-Dimension Hydrodynamic Dispersion Equation with Seepage Velocity and Dispersion Coefficient as Function of Space and Time (2013) (1)
- A comparative study of three numerical schemes for solving Atangana–Baleanu fractional integro-differential equation defined in Caputo sense (2020) (1)
- Mathematical analysis of an eco-epidemiological model with different competition factors in its fractional-stochastic form (2021) (1)
- Groundwater Recharge Model With Fractional Differentiation (2018) (1)
- Mathematical Analysis of Groundwater Flow Models (2022) (1)
- Evolutionary Modeling of Dengue Fever with Incubation Period of Virus (2020) (1)
- Retraction: "On the formulation of Adams-Bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems" [Chaos 29, 023111 (2019)]. (2021) (1)
- Filament Winding of Conical Structures with Elliptic Cross Section (2010) (1)
- Corrigendum: New numerical approach for fractional differential equations (2021) (1)
- Fractional Hunter-Saxton equation involving partial operators with bi-order in Riemann-Liouville and Liouville-Caputo sense (2017) (1)
- Corrigendum to "New numerical method for ordinary differential equations: Newton polynomial" [J. Comput. Appl. Math. (2019) 112622] (2020) (1)
- A comparative analysis of plasma dilution based on fractional integro-differential equation: an application to biological science (2022) (1)
- Two-steps Lagrange polynomial interpolation: numerical scheme (2021) (1)
- Step forward in epidemiological modeling: Introducing the rate indicator function to capture waves (2022) (1)
- Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation (2016) (1)
- Correction to: New numerical approximation of fractional derivative with non-local and non-singular kernel: application to chaotic models (2022) (1)
- Deterministic and stochastic analysis of a COVID-19 spread model (2022) (1)
- Theory, Methods, and Applications of Fractional Calculus (2014) (1)
- Model of conversion of flow from confined to unconfined with the generalized Mittag-Leffler process (2022) (0)
- Piecewise differential equations: theory, methods and applications (2023) (0)
- Application of the New Numerical Method with Atangana–Baleanu Fractal-Fractional Derivative on the Self-Similar Leaky Aquifer Equations (2022) (0)
- One-Dimensional Modelling of Reactive Pollutant Transport in Groundwater (2022) (0)
- Numerical method for a fractal–fractional ordinary differential equation with Mittag-Leffler kernel (2021) (0)
- Reply to the comment on the paper "Role of bi-order Atangana–Aguilar fractional differentiation on Drude model: an analytic study for distinct sources, Kashif Ali Abro, Abdon Atangana, José Francisco Gomez-Aguilar, Optical and Quantum Electronics (2021) 53:177” (2022) (0)
- The dynamics of COVID-19 with quarantined and isolation (2020) (0)
- Fractional stochastic modelling illustration with modified Chua attractor (2019) (0)
- New Model of the Saturated–Unsaturated Groundwater Flow with Power Law and Scale-Invariant Mean Square Displacement (2022) (0)
- Analytical and numerical schemes for a derivative with filtering property and no singular kernel with applications to diffusion (2016) (0)
- Preface on "New trends of numerical and analytical methods" (2020) (0)
- RETRACTED ARTICLE: Derivative with two fractional orders: A new avenue of investigation toward revolution in fractional calculus (2016) (0)
- RICCI SOLITONS OF THE H × R LIE GROUP (2020) (0)
- Biological Model of Dengue Spread with Non-Markovian Properties (2018) (0)
- New Model for Process of Phase Separation in Iron Alloys (2016) (0)
- Polynomial interpolation (2021) (0)
- Numerical Methods for Fractal-Fractional Differential Equations and Engineering (2023) (0)
- Numerical method for a fractional differential equation with the generalized Mittag-Leffler kernel (2021) (0)
- New Model to Capture the Conversion of Flow from Confined to Unconfined Aquifers (2022) (0)
- Numerical method for a fractal–fractional ordinary differential equation with variable order with power-law kernel (2021) (0)
- Conservatory of Kaup-Kupershmidt Equation to the Concept of Fractional Derivative with and without Singular Kernel (2018) (0)
- Fractional Stochastic Differential Equations (2022) (0)
- Focus Point on Modelling Complex Real-World Problems with Fractal and New Trends of Fractional Differentiation (2018) (0)
- Modelling of fractal flow in dual media with fractional differentiation with power and generalized Mittag-Leffler laws kernels (2017) (0)
- Numerical method for a fractal–fractional ordinary differential equation with exponential decay kernel (2021) (0)
- Numerical method for a fractional differential equation with Caputo–Fabrizio derivative (2021) (0)
- Qualitative analysis of solutions of obstacle elliptic inclusion problem with fractional Laplacian (2021) (0)
- A new numerical approximation of the fractal ordinary differential equation (2018) (0)
- Numerical method for a fractal–fractional ordinary differential equation with variable order with exponential decay kernel (2021) (0)
- A novel model for the lassa hemorrhagic fever: deathly disease for pregnant women (2015) (0)
- Stochastic Modeling in Confined and Leaky Aquifers (2022) (0)
- Chapter 5 – Applications of local derivative with new parameter (2016) (0)
- Modeling Groundwater Pollution With Variable Order Derivatives (2018) (0)
- Numerical Approximation of Atangana–Baleanu Differentiation (2019) (0)
- Atangana Derivative With Memory and Application (2018) (0)
- Fractional Variable Order Derivatives (2018) (0)
- New numerical approximation of fractional derivative with non-local and non-singular kernel: Application to chaotic models (2017) (0)
- Application to linear partial differential equations (2021) (0)
- Newton interpolation: introduction of the scheme for classical calculus (2021) (0)
- Analysis of General Groundwater Flow Equation within a Confined Aquifer Using Caputo Fractional Derivative and Caputo–Fabrizio Fractional Derivative (2022) (0)
- A comparative study of convective fluid motion in rotating cavity via Atangana–Baleanu and Caputo–Fabrizio fractal–fractional differentiations (2020) (0)
- On the solution of an acoustic wave equation with variable-order derivative loss operator (2013) (0)
- Aquifers and Their Properties (2018) (0)
- Optimal control for cancer treatment mathematical model using Atangana–Baleanu–Caputo fractional derivative (2020) (0)
- Numerical scheme for partial differential equations with integer and non-integer order (2021) (0)
- SOME CHAOTIC MATHEMATICAL MODELS WITH STOCHASTIC RESETTING (2022) (0)
- Applications of Fractional Operators to Groundwater Models (2018) (0)
- Modelling and formation of spatiotemporal patterns of fractional predation system in subdiffusion and superdiffusion scenarios (2018) (0)
- Limitations of Groundwater Models With Local Derivative (2018) (0)
- Determination of the stability of osmium(IV) hexachloride ICP-OES standards in HCl acid matrix (2020) (0)
- Application to non-linear partial differential equations (2021) (0)
- Application to Partial Fractional Differential Equation (2019) (0)
- Application to linear ordinary differential equations (2021) (0)
- Erratum (2016) (0)
- Numerical analysis for the Klein-Gordon equation with mass parameter (2017) (0)
- Modeling the Diffusion of Chemical Contamination in Soil with Non-Conventional Differential Operators (2022) (0)
- Numerical Approximation of Caputo–Fabrizio Differentiation (2019) (0)
- Groundwater flow model described by prolate spheroid coordinates and new analytical solution for flow model in a confined aquifer under theis conditions (2012) (0)
- An accurate approach based on the orthonormal shifted discrete Legendre polynomials for variable-order fractional Sobolev equation (2021) (0)
- Stability and convergence of the space fractional variable-order Schrödinger equation (2013) (0)
- Retraction Note to: Derivative with two fractional orders: A new avenue of investigation toward revolution in fractional calculus (2021) (0)
- New Groundwater Transport in Dual Media with the Atangana–Baleanu Differential Operators (2022) (0)
- Remarks on a green functions approach to diffusion models with singular kernels in fading memories (2017) (0)
- Analysis of General Groundwater Flow Equation with Fractal Derivative (2022) (0)
- Analysis of a COVID-19 model with nonlocal and stochastic behaviors (2022) (0)
- Groundwater Flow Model in Self-similar Aquifer With Atangana–Baleanu Fractional Operators (2018) (0)
- A NEW DEFY FOR ITERATION METHODS (2015) (0)
- Preface: Special issue on perspectives in nonlinear analysis (2021) (0)
- Shifted Jacobi polynomials for nonlinear singular variable-order time fractional Emden–Fowler equation generated by derivative with non-singular kernel (2021) (0)
- Application of the New Numerical Method with Caputo–Fabrizio Fractal-Fractional Derivative on the Self-Similar Leaky Aquifer Equations (2022) (0)
- Mathematical model for conversion of groundwater flow from confined to unconfined aquifers with power law processes (2023) (0)
- Decolonisation of fractional calculus rules: Breaking commutativity and associativity to capture more natural phenomena (2018) (0)
- Numerical solution of a fractal-fractional order chaotic circuit system (2021) (0)
- Modelling groundwater fractal flow with fractional differentiation via Mittag-Leffler law (2017) (0)
- Analysis of Cauchy problem with fractal-fractional differential operators (2023) (0)
- Transfer Functions by Laplace and Fractal Laplace Transforms (2022) (0)
- Modeling the Enzyme Kinetic Reaction (2015) (0)
- A New Groundwater Transport in Dual Media with Power Law Process (2022) (0)
- Numerical method for fractal differential equations (2021) (0)
- Deterministic and Stochastic Analysis of Groundwater in Unconfined Aquifer Model (2022) (0)
- Analytical and numerical investigation of the Hindmarsh-Rose model neuronal activity. (2023) (0)
- Chebyshev wavelets operational matrices for solving nonlinear variable-order fractional integral equations (2020) (0)
- Numerical Approximation of Riemann–Liouville Differentiation (2019) (0)
- Behavior of Slip Effects on Oscillating Flows of Fractional Second-Grade Fluid (2022) (0)
- Tumour model with intrusive morphology, progressive phenotypical heterogeneity and memory (2018) (0)
- Application to Ordinary Fractional Differential Equations (2019) (0)
- Preface (2021) (0)
- Step forward in epidemiological modeling: Introducing the indicator function to capture waves (2022) (0)
- Numerical method for a fractal–fractional ordinary differential equation with variable order with the generalized Mittag-Leffler kernel (2021) (0)
- Numerical method for a fractional differential equation with power-law kernel (2021) (0)
- Analyzing the New Generalized Equation of Groundwater Flowing within a Leaky Aquifer Using Power Law, Exponential Decay Law and Mittag–Leffler Law (2022) (0)
- A New Model of the 1-d Unsaturated–Saturated Groundwater Flow with Crossover from Usual to Sub-Flow Mean Square Displacement (2022) (0)
- Some new edge detecting techniques based on fractional derivatives with non-local and non-singular kernels (2020) (0)
- Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions (2017) (0)
- Transfer Function of the Sumudu, Laplace Transforms and Their Application to Groundwater (2022) (0)
- Modelling a Conversion of a Confined to an Unconfined Aquifer Flow with Classical and Fractional Derivatives (2022) (0)
- Correction: New insights on novel coronavirus 2019-nCoV/SARS-CoV-2 modelling in the aspect of fractional derivatives and fixed points. (2022) (0)
- Integral Transforms and Engineering (2023) (0)
- Fractal advection-dispersion equation for groundwater transport in fractured aquifers with self-similarities (2018) (0)
- Application of the New Numerical Method with Caputo Fractal-Fractional Derivative on the Self-Similar Leaky Aquifer Equations (2022) (0)
- Modelling Groundwater Flow in a Confined Aquifer with Dual Layers (2022) (0)
- Models of Groundwater Pollution With Fractional Operators (2018) (0)
- On the modified groundwater flow equation: analytical solution via iteration method (2015) (0)
- On the solution of system of fractional nonlinear predator-prey population model via homotopy decomposition method (2013) (0)
- Modeling and forecasting the spread of COVID-19 with stochastic and deterministic approaches: Africa and Europe (2021) (0)
- SPECIAL ISSUE ON PIECEWISE DIFFERENTIATION AND INTEGRATION: A NEW MATHEMATICAL APPROACH TO CAPTURE COMPLEX REAL-WORLD PROBLEMS WITH CROSSOVER BEHAVIORS (2022) (0)
- Groundwater Contamination Transport Model with Fading Memory Property (2022) (0)
- Solving a system of fractional partial differential equations arising in the model of HIV infection of CD4+ cells and attractor one-dimensional Keller-Segel equations (2013) (0)
- Strange chaotic attractors under fractal-fractional operators using newly proposed numerical methods (2019) (0)
- Numerical method for a fractal–fractional ordinary differential equation with power law kernel (2021) (0)
- Modern and generalized analysis of exogenous growth models (2022) (0)
- The Dual Porosity Model (2022) (0)
- Analysis of the Existing Model for the Vertical Flow of Groundwater in Saturated–Unsaturated Zones (2022) (0)
- An operational matrix method for nonlinear variable-order time fractional reaction–diffusion equation involving Mittag-Leffler kernel (2020) (0)
- Numerical simulations of chaotic and complex spatiotemporal patterns in fractional reaction–diffusion systems (2017) (0)
- Application of fixed point theorem for stability analysis of a nonlinear Schrödinger with Caputo new fractional order derivative (2015) (0)
- Heat and mass flux analysis of magneto-free-convection flow of Oldroyd-B fluid through porous layered inclined plate (2023) (0)
- Predictor–corrector for non-linear differential and integral equation with fractal–fractional operators (2020) (0)
- Analysis of General Groundwater Flow Equation with Fractal-Fractional Differential Operators (2022) (0)
- Groundwater Flow Within a Fracture, Matrix Rock and Leaky Aquifers: Fractal Geometry (2018) (0)
- Fractional calculus with power law: The cradle of our ancestors⋆ (2019) (0)
- Convergence and stability analysis of a novel iteration method for fractional biological population equation (2014) (0)
- New Model of the 1-d Unsaturated–Saturated Groundwater Flow with Crossover from Usual to Confined Flow Mean Square Displacement (2022) (0)
- Chapter 4 – Method for partial differential equations with beta-derivative (2016) (0)
- On The Exact Solution Of High Even-Order Differential Equation (2013) (0)
- Application to a system of ordinary differential equations (2021) (0)
- PREFACE: Special Issue on Fractal and Fractional with Applications to Nature (2020) (0)
- Analysis of exact groundwater model within a confined aquifer: New proposed model beyond the Theis equation (2018) (0)
- Piecewise derivatives versus short memory concept: analysis and application. (2022) (0)
- Analytical and Numerical Approaches for Complicated Nonlinear Equations (2014) (0)
- Modeling Soil Moisture Flow (2022) (0)
- Threshold dynamics for an age‐structured heroin epidemic model with distributed delays (2023) (0)
- Numerical analysis of some partial differential equations with fractal-fractional derivative (2022) (0)
- Approximate solution of cryptosporidiosis model (2016) (0)
- Application to system of non-linear partial differential equations (2021) (0)
- Effect of Local and Non-Local Kernels on Heat Transfer of Mixed Convection Flow of the Maxwell Fluid (2021) (0)
- Numerical Approximation of Caputo Differentiation (2019) (0)
- A New Model for Groundwater Contamination Transport in Dual Media (2022) (0)
- Retraction Note to: Derivative with two fractional orders: A new avenue of investigation toward revolution in fractional calculus (2021) (0)
- A New Method for Modeling Groundwater Flow Problems (2022) (0)
- On three dimensional fractal dynamics with fractional inputs and applications (2021) (0)
- On the Chaotic Pole of Attraction with Nonlocal and Nonsingular Operators in Neurobiology (2019) (0)
- Spatiotemporal Dynamics of Fractional Predator–Prey System with Stage Structure for the Predator (2017) (0)
- Application to non-linear ordinary differential equations (2021) (0)
- Chapter 3 – Novel integrals transform (2016) (0)
- New Model of the 1-d Saturated–Unsaturated Groundwater Flow Using the Fractal-Fractional Derivative (2022) (0)
This paper list is powered by the following services:
What Schools Are Affiliated With Abdon Atangana?
Abdon Atangana is affiliated with the following schools: