Shaher Momani
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Jordanian academic and mathematician
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Mathematics
Shaher Momani's Degrees
- PhD Mathematics University of Jordan
- Masters Mathematics University of Jordan
- Bachelors Mathematics University of Jordan
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Why Is Shaher Momani Influential?
(Suggest an Edit or Addition)According to Wikipedia, Shaher Momani is a Jordanian distinguished professor of applied mathematics and one of the top ten scientists in the world in the field of fractional calculus according to Web of Science several times between 2009 and 2013. he was selected as one of the world's most influential scientific minds according to Thomson Reuters in 2014 and 2015. Momani was also selected by Thomson Reuters as one of the highly cited researchers between 2014 and 2018. Al Momani was honored by King Abdullah II Bin Al Hussein among the Jordanian Stars of Science for his contributions to his field of specialization during the World Science Forum in 2017.
Shaher Momani's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Application of Variational Iteration Method to Nonlinear Differential Equations of Fractional Order (2006) (735)
- Application of He’s variational iteration method to Helmholtz equation (2006) (486)
- HOMOTOPY ANALYSIS METHOD FOR FRACTIONAL IVPS (2009) (451)
- Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method (2016) (400)
- Numerical comparison of methods for solving linear differential equations of fractional order (2007) (390)
- Homotopy perturbation method for nonlinear partial differential equations of fractional order (2007) (384)
- A generalized differential transform method for linear partial differential equations of fractional order (2008) (362)
- Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method (2006) (353)
- Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems (2017) (345)
- Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order (2008) (293)
- Numerical approach to differential equations of fractional order (2007) (270)
- Analytical approach to linear fractional partial differential equations arising in fluid mechanics (2006) (262)
- The variational iteration method: An efficient scheme for handling fractional partial differential equations in fluid mechanics (2009) (260)
- Numerical methods for nonlinear partial differential equations of fractional order (2008) (257)
- Generalized differential transform method: Application to differential equations of fractional order (2008) (238)
- Decomposition method for solving fractional Riccati differential equations (2006) (228)
- Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation (2007) (223)
- Fuzzy fractional order sliding mode controller for nonlinear systems (2010) (217)
- Approximate analytical solution of the nonlinear fractional KdV-Burgers equation: A new iterative algorithm (2015) (216)
- Application of generalized differential transform method to multi-order fractional differential equations (2008) (202)
- Solving systems of fractional differential equations using differential transform method (2008) (198)
- Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations (2007) (188)
- Application of Legendre wavelets for solving fractional differential equations (2011) (171)
- New Results on Fractional Power Series: Theory and Applications (2013) (170)
- Analytic and approximate solutions of the space- and time-fractional telegraph equations (2005) (170)
- An explicit and numerical solutions of the fractional KdV equation (2005) (169)
- A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula (2008) (166)
- Numerical solutions for systems of fractional differential equations by the decomposition method (2005) (163)
- Non-perturbative analytical solutions of the space- and time-fractional Burgers equations (2006) (162)
- Comparing Bibliometric Analysis Using PubMed, Scopus, and Web of Science Databases. (2019) (158)
- Numerical methods for fourth-order fractional integro-differential equations (2006) (154)
- SOLVING FRACTIONAL DIFFUSION AND WAVE EQUATIONS BY MODIFIED HOMOTOPY PERTURBATION METHOD (2007) (148)
- The homotopy analysis method for handling systems of fractional differential equations (2010) (147)
- Existence of the mild solution for fractional semilinear initial value problems (2008) (139)
- AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER (2008) (139)
- Constructing and predicting solitary pattern solutions for nonlinear time-fractional dispersive partial differential equations (2015) (138)
- A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations (2010) (135)
- Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method (2005) (133)
- Solutions of non-linear oscillators by the modified differential transform method (2008) (133)
- Solving systems of fractional differential equations by homotopy-perturbation method (2008) (128)
- The fractional-order modeling and synchronization of electrically coupled neuron systems (2012) (126)
- A novel expansion iterative method for solving linear partial differential equations of fractional order (2015) (125)
- Control and switching synchronization of fractional order chaotic systems using active control technique (2013) (114)
- Approximate solutions for boundary value problems of time-fractional wave equation (2006) (109)
- Solving Singular Two-Point Boundary Value Problems Using Continuous Genetic Algorithm (2012) (106)
- Application of homotopy-perturbation method to fractional IVPs (2008) (102)
- Variational iteration method for solving the space‐ and time‐fractional KdV equation (2008) (101)
- On the existence and uniqueness of solutions of a class of fractional differential equations (2007) (101)
- Optimization Solution of Troesch’s and Bratu’s Problems of Ordinary Type Using Novel Continuous Genetic Algorithm (2014) (101)
- Sliding mode synchronization of an uncertain fractional order chaotic system (2010) (99)
- Variational iteration method for solving nonlinear boundary value problems (2006) (97)
- Numerical Multistep Approach for Solving Fractional Partial Differential Equations (2017) (97)
- A Computational Method for Two-Point Boundary Value Problems of Fourth-Order Mixed Integrodifferential Equations (2013) (97)
- Numerical solution of Fokker–Planck equation with space- and time-fractional derivatives (2007) (97)
- A reliable treatment of homotopy perturbation method for Klein–Gordon equations (2007) (94)
- An approximate solution for a fractional diffusion-wave equation using the decomposition method (2005) (91)
- Numerical investigations for systems of second-order periodic boundary value problems using reproducing kernel method (2016) (90)
- An Optimization Algorithm for Solving Systems of Singular Boundary Value Problems (2014) (88)
- Application of Reproducing Kernel Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations (2012) (88)
- Numerical computations of coupled fractional resonant Schrödinger equations arising in quantum mechanics under conformable fractional derivative sense (2020) (87)
- Are university rankings useful to improve research? A systematic review (2018) (86)
- Numerical solutions of the space‐time fractional advection‐dispersion equation (2008) (86)
- Solution of Inverse Kinematics Problem using Genetic Algorithms (2016) (85)
- Lyapunov stability solutions of fractional integrodifferential equations (2004) (83)
- An efficient method for solving systems of fractional integro-differential equations (2006) (82)
- Approximate wave solutions for generalized Benjamin-Bona-Mahony-Burgers equations (2005) (81)
- Comparing numerical methods for solving fourth-order boundary value problems (2007) (81)
- A Reliable Analytical Method for Solving Higher-Order Initial Value Problems (2013) (78)
- The non-standard finite difference scheme for linear fractional PDEs in fluid mechanics (2011) (78)
- Using an enhanced homotopy perturbation method in fractional differential equations via deforming the linear part (2008) (77)
- Analytical approximate solutions of systems of fractional algebraic-differential equations by homotopy analysis method (2010) (77)
- Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative. (2019) (76)
- Atangana-Baleanu fractional framework of reproducing kernel technique in solving fractional population dynamics system (2020) (76)
- An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells (2011) (75)
- Solutions of a fractional oscillator by using differential transform method (2010) (75)
- A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives (2012) (74)
- Multiple Solutions of Nonlinear Boundary Value Problems of Fractional Order: A New Analytic Iterative Technique (2014) (74)
- The multistage homotopy-perturbation method: A powerful scheme for handling the Lorenz system (2009) (74)
- An algorithm for solving the fractional convection–diffusion equation with nonlinear source term (2007) (72)
- Numerical approximations and Padé approximants for a fractional population growth model (2007) (70)
- Numerical solutions of nonlinear fractional model arising in the appearance of the stripe patterns in two-dimensional systems (2019) (69)
- Analytical approximate solutions of the fractional convection–diffusion equation with nonlinear source term by He's homotopy perturbation method (2010) (68)
- Stability and non-standard finite difference method of the generalized Chua's circuit (2011) (67)
- Dynamical analysis of fractional-order modified logistic model (2011) (67)
- The modified homotopy perturbation method for solving strongly nonlinear oscillators (2009) (66)
- A Numerical Algorithm for the Solutions of ABC Singular Lane–Emden Type Models Arising in Astrophysics Using Reproducing Kernel Discretization Method (2020) (66)
- Fractional order control of a coupled tank (2010) (62)
- Analytical Study of Fractional-Order Multiple Chaotic FitzHugh-Nagumo Neurons Model Using Multistep Generalized Differential Transform Method (2014) (59)
- Numerical comparison of methods for solving a special fourth-order boundary value problem (2007) (58)
- Some analytical properties of solutions of differential equations of noninteger order (2004) (57)
- PIECEWISE OPTIMAL FRACTIONAL REPRODUCING KERNEL SOLUTION AND CONVERGENCE ANALYSIS FOR THE ATANGANA–BALEANU–CAPUTO MODEL OF THE LIENARD’S EQUATION (2020) (57)
- THE REPRODUCING KERNEL ALGORITHM FOR NUMERICAL SOLUTION OF VAN DER POL DAMPING MODEL IN VIEW OF THE ATANGANA–BALEANU FRACTIONAL APPROACH (2020) (56)
- Adaptive Fractional PID Controller for Robot Manipulator (2012) (56)
- Square-root dynamics of a giving up smoking model (2013) (55)
- Construction of fractional power series solutions to fractional stiff system using residual functions algorithm (2019) (54)
- Phase synchronization in fractional differential chaotic systems (2008) (54)
- A computational method for solving periodic boundary value problems for integro-differential equations of Fredholm-Volterra type (2014) (54)
- On a fractional integral equation of periodic functions involving Weyl–Riesz operator in Banach algebras (2008) (53)
- Algorithms for nonlinear fractional partial differential equations: A selection of numerical methods (2008) (53)
- A Genetic Algorithm Approach for Prediction of Linear Dynamical Systems (2013) (52)
- Analytical Approximations of Partial Differential Equations of Fractional Order with Multistep Approach (2016) (50)
- An Efficient Analytical Method for Solving Singular Initial Value Problems of Nonlinear Systems (2016) (50)
- A numerical scheme for the solution of multi-order fractional differential equations (2006) (50)
- Application of Continuous Genetic Algorithm for Nonlinear System of Second-Order Boundary Value Problems (2014) (50)
- Numerical approach in the Hilbert space to solve a fuzzy Atangana-Baleanu fractional hybrid system (2021) (50)
- Two computational approaches for solving a fractional obstacle system in Hilbert space (2019) (49)
- Mixed convective slip flow of hybrid nanofluid (MWCNTs + Cu + Water), nanofluid (MWCNTs + Water) and base fluid (Water): a comparative investigation (2020) (48)
- Fractional green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics (2007) (47)
- Modified Householder iterative method for nonlinear equations (2007) (47)
- Numerical investigations onCOVID‐19 model through singular and non‐singular fractional operators (2020) (47)
- Series solutions of nonlinear conformable fractional KdV-Burgers equation with some applications (2019) (45)
- Structure of optical soliton solution for nonliear resonant space-time Schrödinger equation in conformable sense with full nonlinearity term (2020) (44)
- Chaotic fractional-order Coullet system: Synchronization and control approach (2010) (44)
- Cattaneo-Christov (CC) heat flux model for nanomaterial stagnation point flow of Oldroyd-B fluid (2019) (44)
- Dark and singular optical solutions with dual-mode nonlinear Schrödinger's equation and Kerr-law nonlinearity (2018) (43)
- Analytical Solutions of Fuzzy Initial Value Problems by HAM (2013) (43)
- A New Attractive Analytic Approach for Solutions of Linear and Nonlinear Neutral Fractional Pantograph Equations (2020) (39)
- Homotopy Analysis Method for Second-Order Boundary Value Problems of Integrodifferential Equations (2012) (38)
- Construction of Analytical Solutions to Fractional Differential Equations Using Homotopy Analysis Method (2010) (37)
- Analytical numerical solutions of the fractional multi-pantograph system: Two attractive methods and comparisons (2019) (35)
- Applications of variational iteration and homotopy perturbation methods to fractional evolution equations (2008) (34)
- Cattaneo-Christov heat flux (CC model) in mixed convective stagnation point flow towards a Riga plate (2020) (31)
- Fractional Differential Equations (2010) (30)
- On numerical approximation of Atangana-Baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert Space (2021) (30)
- Solving fractional two-point boundary value problems using continuous analytic method (2013) (29)
- The Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillators (2012) (28)
- A Reproducing Kernel Hilbert Space Method for Solving Integro-Differential Equations of Fractional Order (2013) (27)
- Non-standard finite difference schemes for solving fractional-order Rössler chaotic and hyperchaotic systems (2011) (27)
- Numerical investigation for Caputo-Fabrizio fractional Riccati and Bernoulli equations using iterative reproducing kernel method (2021) (26)
- Solution of Fractional SIR Epidemic Model Using Residual Power Series Method (2019) (26)
- Existence, Uniqueness, and Characterization Theorems for Nonlinear Fuzzy Integrodifferential Equations of Volterra Type (2015) (25)
- A study on fractional COVID‐19 disease model by using Hermite wavelets (2021) (25)
- An attractive numerical algorithm for solving nonlinear Caputo–Fabrizio fractional Abel differential equation in a Hilbert space (2021) (25)
- LOCAL AND GLOBAL UNIQUENESS THEOREMS ON FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS VIA BIHARI'S AND GRONWALL'S INEQUALITIES (2007) (25)
- Solutions to the problem of prey and predator and the epidemic model via differential transform method (2008) (25)
- CONTROLLABLE DYNAMICAL BEHAVIORS AND THE ANALYSIS OF FRACTAL BURGERS HIERARCHY WITH THE FULL EFFECTS OF INHOMOGENEITIES OF MEDIA (2015) (24)
- Homotopy analysis method for systems of fractional integro-differential equations (2009) (23)
- An effective variational iteration algorithm for solving Riccati differential equations (2010) (23)
- A Nonstandard Finite difference Scheme for Two-Sided Space-fractional Partial differential equations (2012) (22)
- Chaos and control of a three-dimensional fractional order discrete-time system with no equilibrium and its synchronization (2020) (22)
- A reliable algorithm for solving fourth-order boundary value problems (2006) (21)
- The discrete fractional duffing system: Chaos, 0-1 test, C0 complexity, entropy, and control. (2020) (21)
- Ternary-fractional differential transform schema: theory and application (2019) (21)
- The General Solution of Singular Fractional-Order Linear Time-Invariant Continuous Systems with Regular Pencils (2018) (20)
- ANALYTICAL APPROXIMATE SOLUTIONS OF NONLINEAR OSCILLATORS BY THE MODIFIED DECOMPOSITION METHOD (2004) (20)
- Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators (2014) (20)
- ANALYTICAL SOLUTIONS OF A FRACTIONAL OSCILLATOR BY THE DECOMPOSITION METHOD (2007) (20)
- Adaptation of Differential Transform Method for the Numeric-Analytic Solution of Fractional-Order Rössler Chaotic and Hyperchaotic Systems (2012) (19)
- A class of linear non-homogenous higher order matrix fractional differential equations: Analytical solutions and new technique (2020) (19)
- Dynamical system analysis of thermal convection in a horizontal layer of nanofluids heated from below (2012) (18)
- Control of Chaos via Fractional-Order State Feedback Controller (2010) (18)
- A Reproducing Kernel Hilbert Space Method for Solving Systems of Fractional Integrodifferential Equations (2014) (18)
- Computational algorithm for solving drug pharmacokinetic model under uncertainty with nonsingular kernel type Caputo-Fabrizio fractional derivative (2021) (18)
- Dynamical analysis of the Irving-Mullineux oscillator equation of fractional order (2014) (18)
- Development of spreading symmetric two-waves motion for a family of two-mode nonlinear equations (2020) (17)
- Application of the enhanced homotopy perturbation method to solve the fractional-order Bagley–Torvik differential equation (2009) (17)
- Analytic solutions of the generalized water wave dynamical equations based on time-space symmetric differential operator (2020) (17)
- Hidden attractors in a new fractional–order discrete system: Chaos, complexity, entropy, and control (2020) (17)
- Differential transform method for solving singularly perturbed Volterra integral equations (2011) (17)
- A reliable algorithm for solving tenth-order boundary value problems (2007) (16)
- Smooth expansion to solve high-order linear conformable fractional PDEs via residual power series method: Applications to physical and engineering equations (2020) (16)
- Dynamics analysis of fractional-order Hopfield neural networks (2020) (16)
- ANALYTICAL COMPARISON BETWEEN THE HOMOTOPY PERTURBATION METHOD AND VARIATIONAL ITERATION METHOD FOR DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER (2008) (16)
- Newtonian and non-Newtonian flow in a channel obstructed by an antisymmetric array of cylinders (1991) (16)
- Analytic Numeric Solution for SIRC Epidemic Model in Fractional Order (2013) (16)
- FDM analysis for nonlinear mixed convective nanofluid flow with entropy generation (2021) (15)
- Solving a Fractional-Order Differential Equation Using Rational Symmetric Contraction Mappings (2021) (15)
- Solving the fractional nonlinear Bloch system using the multi-step generalized differential transform method (2014) (15)
- On (2 + 1)-dimensional physical models endowed with decoupled spatial and temporal memory indices⋆ (2019) (14)
- Synchronization of Fractional-Order Chaotic System via Adaptive PID Controller (2010) (14)
- Finite difference analysis for entropy optimized flow of Casson fluid with thermo diffusion and diffusion-thermo effects (2022) (14)
- Adaptation of Conformable Residual Power Series Scheme in Solving Nonlinear Fractional Quantum Mechanics Problems (2020) (14)
- Application of Multistage Homotopy Perturbation Method to the Chaotic Genesio System (2012) (14)
- Bifurcation and chaos in the fractional form of Hénon-Lozi type map (2020) (14)
- Certain Coefficient Estimate Problems for Three-Leaf-Type Starlike Functions (2021) (14)
- Solving Linear and Nonlinear Fractional Differential Equations Using Spline Functions (2012) (14)
- A Residual Power Series Technique for Solving Systems of Initial Value Problems (2016) (13)
- A Quadratic Fractional Map without Equilibria: Bifurcation, 0–1 Test, Complexity, Entropy, and Control (2020) (13)
- Entropy Optimization in Nonlinear Mixed Convective Flow of Nanomaterials Through Porous Space (2021) (13)
- Series solutions of a fractional oscillator by means of the homotopy perturbation method (2010) (13)
- A numerical scheme for the solution of viscous Cahn–Hilliard equation (2008) (12)
- An Avant-Garde Handling of Temporal-Spatial Fractional Physical Models (2019) (12)
- New Fractional Analytical Study of Three-Dimensional Evolution Equation Equipped With Three Memory Indices (2019) (12)
- Solution of an SEIR Epidemic Model in Fractional Order (2013) (12)
- Application of Multistep Generalized Differential Transform Method for the Solutions of the Fractional-Order Chua's System (2012) (11)
- Modified analytical approach for generalized quadratic and cubic logistic models with Caputo-Fabrizio fractional derivative☆ (2020) (11)
- On a pair of fuzzy dominated mappings on closed ball in the multiplicative metric space with applications (2021) (11)
- Second Order Fuzzy Fractional Differential Equations Under Caputo’s H-Differentiability (2017) (11)
- Application of Homotopy Perturbation Method to Singularly Perturbed Volterra Integral Equations (2008) (11)
- CHAOTIC AND SOLITONIC SOLUTIONS FOR A NEW TIME-FRACTIONAL TWO-MODE KORTEWEG-DE VRIES EQUATION (2020) (11)
- Tuning PID and PIλDδ controllers using particle swarm optimization algorithm via El-Khazali’s approach (2019) (11)
- A numerical scheme for the solution of Sivashinsky equation (2005) (11)
- Decomposition method for solving a system of fourth-order obstacle boundary value problems (2006) (11)
- Multi-step reproducing kernel algorithm for solving Caputo–Fabrizio fractional stiff models arising in electric circuits (2022) (10)
- ARA-residual power series method for solving partial fractional differential equations (2022) (10)
- Solving space-fractional Cauchy problem by modified finite-difference discretization scheme (2020) (10)
- Fractional Differential Equations 2012 (2013) (10)
- Approximation of Fractional-Order Operators (2018) (10)
- A New Approximation Method for Solving Fuzzy Heat Equations (2016) (10)
- Reply to “Comments on “Fuzzy fractional order sliding mode controller for nonlinear systems, Commun Nonlinear Sci Numer Simulat 15 (2010) 963–978” ” (2012) (10)
- Analytic solutions for a modified fractional three wave interaction equations with conformable derivative by unified method (2020) (9)
- Analytical Simulation of Singular Second-Order, Three Points Boundary Value Problems for Fredholm Operator Using Computational Kernel Algorithm (2016) (9)
- Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method (2015) (9)
- General Solutions for the Space-and Time-fractional Diffusion-wave Equation (2006) (9)
- Synchronization of Gyro Systems via Fractional-Order Adaptive Controller (2010) (9)
- Constructing non-fixed-point maps with memristors (2022) (9)
- Numerical schemes for studying biomathematics model inherited with memory-time and delay-time (2020) (9)
- Modeling and Analyzing Neural Networks Using Reproducing Kernel Hilbert Space Algorithm (2018) (9)
- Solvability and stability of a fractional dynamical system of the growth of COVID-19 with approximate solution by fractional Chebyshev polynomials (2020) (9)
- An Efficient Computational Method for Handling Singular Second-Order, Three Points Volterra Integrodifferential Equations (2016) (9)
- Exact optical solutions for the regularized long-wave Kadomtsev-Petviashvili equation (2020) (9)
- Identification of hysteresis models using real-coded genetic algorithms (2019) (8)
- Comparison of Numerical Methods of the SEIR Epidemic Model of Fractional Order (2014) (8)
- Generalized Briot–Bouquet differential equation by a quantum difference operator in a complex domain (2020) (8)
- Thermal investigation of fully wet longitudinal porous fin of functionally graded material (2020) (8)
- Soret–Dufour aspects with activation energy in peristaltic mechanism of third-grade material with variable features (2020) (8)
- A Novel Iterative Numerical Algorithm for the Solutions of Systems of Fuzzy Initial Value Problems (2017) (8)
- Numerical simulation of MHD hybrid nanofluid flow by a stretchable surface (2021) (8)
- An approximate solution method for the fractional version of a singular BVP occurring in the electrohydrodynamic flow in a circular cylindrical conduit (2019) (8)
- Generating Multidirectional Variable Hidden Attractors via Newly Commensurate and Incommensurate Non-Equilibrium Fractional-Order Chaotic Systems (2021) (8)
- Stability and bifurcation analysis of a fractional‐order model of cell‐to‐cell spread of HIV‐1 with a discrete time delay (2022) (7)
- Mathematical Model for Simulating the Movement of Water Droplet on Artificial Leaf Surface (2019) (7)
- Numerical study of entropy generation in Darcy-Forchheimer (D-F) Bödewadt flow of CNTs (2021) (7)
- New results for the stability of fractional-order discrete-time neural networks (2022) (7)
- Numerical Approximations of a Dynamic System Containing Fractional Derivatives (2008) (7)
- Attractive Multistep Reproducing Kernel Approach for Solving Stiffness Differential Systems of Ordinary Differential Equations and SomeError Analysis (2022) (7)
- Comparing Two Numerical Methods for Approximating a New Giving Up Smoking Model Involving Fractional Order Derivatives (2017) (7)
- UPPER AND LOWER BOUNDS OF SOLUTIONS FOR FRACTIONAL INTEGRAL EQUATIONS (2007) (7)
- New Solitary Wave and Multiple Soliton Solutions for the Time-Space Coupled Fractional mKdV System with Time-Dependent Coefficients (2016) (7)
- Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems (2016) (7)
- An Extension of Beta Function by Using Wiman's Function (2021) (7)
- Capturing of solitons collisions and reflections in nonlinear Schrödinger type equations by a conservative scheme based on MOL (2021) (7)
- A chaos study of fractional SIR epidemic model of childhood diseases (2021) (7)
- A Decomposition Method for Solving Unsteady Convection-Diffusion Problems (2008) (7)
- Solving Time-Space-Fractional Cauchy Problem with Constant Coefficients by Finite-Difference Method (2020) (7)
- Susceptible-Infected-Susceptible Epidemic Discrete Dynamic System Based on Tsallis Entropy (2020) (7)
- Fractional-order coronavirus models with vaccination strategies impacted on Saudi Arabia's infections (2022) (7)
- Multivalent Functions and Differential Operator Extended by the Quantum Calculus (2022) (7)
- New solitary wave and multiple soliton solutions for fifth order nonlinear evolution equation with time variable coefficients (2018) (6)
- Existence and uniqueness of solutions for generalized Sturm–Liouville and Langevin equations via Caputo–Hadamard fractional-order operator (2022) (6)
- An approach for approximate solution of fractional-order smoking model with relapse class (2018) (6)
- Lie symmetry analysis, explicit solutions, and conservation laws of the time-fractional Fisher equation in two-dimensional space (2021) (6)
- On Onset of Chaotic Convection in Couple-Stress Fluids (2014) (6)
- Solving A System Of Second Order Obstacle Problems By A Modified Decomposition Method (2006) (6)
- Computing bifurcations behavior of mixed type singular time-fractional partial integrodifferential equations of Dirichlet functions types in hilbert space with error analysis (2019) (6)
- Synchronization of Chaotic Nonlinear Gyros Using Fractional Order Controller (2010) (6)
- The cubic B-spline interpolation method for numerical point solutions of conformable boundary value problems (2021) (6)
- A new hybrid non-standard finite difference-adomian scheme for solution of nonlinear equations (2011) (6)
- A study of fractional TB model due to mycobacterium tuberculosis bacteria (2021) (6)
- On Variable-Order Fractional Discrete Neural Networks: Solvability and Stability (2022) (5)
- Numerical Solutions of Two Forms of Blasius Equation on a Half-Infinite Domain (2008) (5)
- Local and global uniqueness theorems on differential equations of non-integer order via Bihari’s and Gronwall’s inequalities (2000) (5)
- Computational Analysis of Fractional Diffusion Equations Occurring in Oil Pollution (2022) (5)
- A Fractional Approach to a Computational Eco-Epidemiological Model with Holling Type-II Functional Response (2021) (5)
- New implementation of reproducing kernel Hilbert space method for solving a fuzzy integro-differential equation of integer and fractional orders (2017) (5)
- A Novel Fractional-Order Discrete SIR Model for Predicting COVID-19 Behavior (2022) (5)
- The B-spline collocation method for solving conformable initial value problems of non-singular and singular types (2021) (5)
- Fractional-order COVID-19 pandemic outbreak: Modeling and stability analysis (2021) (5)
- A study of generalized hypergeometric Matrix functions via two-parameter Mittag–Leffler matrix function (2022) (5)
- The multistage homotopy analysis method: application to a biochemical reaction model of fractional order (2014) (5)
- Inhibition or enhancement of chaotic convection via inclined magnetic field (2014) (4)
- Inhibition or enhancement of chaotic convection via inclined magnetic field (2014) (4)
- ANALYTICAL SOLUTIONS OF STRONGLY NON-LINEAR OSCILLATORS BY THE DECOMPOSITION METHOD (2004) (4)
- Quarter-Sweep Preconditioned Relaxation Method, Algorithm and Efficiency Analysis for Fractional Mathematical Equation (2021) (4)
- Highly efficient numerical scheme for solving fuzzy system of linear and non-linear equations with application in differential equations (2022) (4)
- NUMERICAL SOLUTION OF SECOND-ORDER FUZZY DIFFERENTIAL EQUATION OF INTEGER AND FRACTIONAL ORDER USING REPRODUCING KERNEL HILBERT SPACE METHOD TOOLS (2017) (4)
- Numerical solvability of generalized Bagley–Torvik fractional models under Caputo–Fabrizio derivative (2021) (4)
- Special Fractional-Order Map and Its Realization (2022) (4)
- Control and Synchronization of Chaotic Fractional-Order Coullet System via Active Controller (2012) (4)
- A New Measure of Quantum Starlike Functions Connected with Julia Functions (2022) (4)
- Differential Transform Technique for Solving Fifth-Order Boundary Value Problems (2008) (4)
- Modified Three-Point Fractional Formulas with Richardson Extrapolation (2022) (4)
- Discrete Memristance and Nonlinear Term for Designing Memristive Maps (2022) (4)
- Application of the modified differential transform method to fractional oscillators (2011) (4)
- Adaptation of reproducing kernel method in solving Atangana–Baleanu fractional Bratu model (2022) (4)
- On the periodic solutions of the nonlinear oscillators (2014) (3)
- Effective numerical technique for nonlinear Caputo-Fabrizio systems of fractional Volterra integro-differential equations in Hilbert space (2021) (3)
- Dynamical analysis of fractional plant disease model with curative and preventive treatments (2022) (3)
- The Solution of Flierl-Petviashivili Equation and its Variants Using Dtm-Padé Technique (2010) (3)
- Design Fractional-order PID Controllers for Single-Joint Robot Arm Model (2022) (3)
- A Numerical Confirmation of a Fractional-Order COVID-19 Model's Efficiency (2022) (3)
- Hilbert solution of fuzzy fractional boundary value problems (2022) (3)
- Approximate solutions of fuzzy differential equations of fractional order using modified reproducing kernel Hilbert space method (2017) (3)
- New optical soliton solutions for coupled resonant Davey-Stewartson system with conformable operator (2021) (3)
- Design of PIλ Dδ-Heart Rate Controllers for Cardiac Pacemaker (2019) (3)
- Synchronization of Uncertain Fractional-Order Duffing-Holmes Chaotic System via Sliding Mode Control (2012) (3)
- On Dynamics of a Fractional-Order Discrete System with Only One Nonlinear Term and without Fixed Points (2020) (3)
- Fractional Green's function for fractional partial differential equations (2008) (3)
- A new formulation of finite difference and finite volume methods for solving a space fractional convection–diffusion model with fewer error estimates (2021) (3)
- Fractional-order biological system: chaos, multistability and coexisting attractors (2021) (3)
- Synchronization of Fractional Chaotic Systems via Fractional-Order Adaptive Controller (2012) (3)
- Analytic Solution of Spatial-Temporal Fractional Klein-Gordon Equation Arising in Physical Models (2018) (2)
- Optimal design of $ PI^\rho D^\mu $-controller for artificial ventilation systems for COVID-19 patients (2022) (2)
- A Beginner’s Guide to Using Open Access Data (2019) (2)
- Higher-dimensional physical models with multimemory indices: analytic solution and convergence analysis (2020) (2)
- Numerical solutions of singular time-fractional PDEs (2019) (2)
- Effective Analytical Computational Technique for Conformable Time-Fractional Nonlinear Gardner Equation and Cahn-Hilliard Equations of Fourth and Sixth Order Emerging in Dispersive Media (2022) (2)
- Solving Fuzzy Fractional IVPs of order 2β by Residual Power Series Algorithm (2019) (2)
- On group of Lie symmetry analysis, explicit series solutions and conservation laws for the time-fractional (2 + 1)-dimensional Zakharov-Kuznetsov (q,p,r) equation (2022) (2)
- Application of Power Series Method for Solving Obstacle Problem of Fractional Order (2019) (2)
- Dynamic Responses of PIλ, PDδ, and PIλ Dδ Controllers for Prosthetic Hand Model Using PSO Algorithm (2019) (2)
- On the Stability of Incommensurate h-Nabla Fractional-Order Difference Systems (2022) (2)
- Solving linear fractional-order differential equations via the enhanced homotopy perturbation method (2009) (2)
- A study on fractional HBV model through singular and non-singular derivatives (2022) (2)
- Fractional Differential Equations 2011 (2011) (2)
- Nonlinear Problems: Analytical and Computational Approach with Applications (2012) (2)
- New styles of periodic solutions of the classical six-body problem (2019) (2)
- Stabilization of Fractional Order Unified Chaotic Systems via Linear State Feedback Controller (2012) (1)
- Extension of the Tricomi problem for a loaded parabolic–hyperbolic equation with a characteristic line of change of type (2022) (1)
- Approximate analytical solution of the space-and time-fractional Burgers equations (2008) (1)
- Direct solution of second-order BVPs by homotopy-perturbation method (Penyelesaian Secara Langsung MNS Berperingkat-Dua Melalui Kaedah Homotopi-usikan) (2009) (1)
- Non-similar analysis of the Cattaneo-Christov model in MHD second-grade nanofluid flow with Soret and Dufour effects (2023) (1)
- Residual Power Series Approach for Solving Linear Fractional Swift-Hohenberg Problems (2019) (1)
- New optical soliton solutions for coupled resonant Davey-Stewartson system with conformable operator (2022) (1)
- Generalizing the meaning of derivatives and integrals of any order differential equations by fuzzy-order derivatives and fuzzy-order integrals (2017) (1)
- A New Discrete-Time Model of Fractional-Order PLL (2020) (1)
- A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations (2022) (1)
- An Approximation of the Analytic Solution of the Helmholtz Equation (2010) (1)
- He's Variational Iteration Method for Solving the Singularly Perturbed Volterra Integral Equations (2013) (1)
- Comparing Two Numerical Methods for Approximating a New Giving Up Smoking Model Involving Fractional Order Derivatives (2017) (1)
- Bernoulli wavelet method for non-linear fractional Glucose–Insulin regulatory dynamical system (2022) (1)
- Full Details of Solving Initial Value Problems by Reproducing Kernel Hilbert Space Method (2015) (1)
- Soret and Dufour impacts in entropy optimized mixed convective flow (2023) (1)
- Modified 5-point fractional formula with Richardson extrapolation (2023) (1)
- Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems (2019) (1)
- Solving nonlinear oscillators using a modified homotopy analysis method (2012) (1)
- Certain integral representations involving hypergeometric functions in two variables (2022) (1)
- New Bright and Kink Soliton Solutions for Fractional Complex Ginzburg–Landau Equation with Non-Local Nonlinearity Term (2022) (1)
- THE MULTI-STEP HOMOTOPY ANALYSIS METHOD: A POWERFUL SCHEME FOR HANDLING NON-LINEAR OSCILLATORS (2013) (1)
- Solving a system of fourth-order obstacle boundary value problems by differential transform method (2008) (1)
- Numerical solution of fractional differential equations with temporal two-point BVPs using reproducing kernal Hilbert space method (2021) (1)
- A study of a modified nonlinear dynamical system with fractal-fractional derivative (2021) (1)
- Computational Method for Solving Nonlinear Voltera Integro-Differential Equations (2016) (1)
- An approximate solution method for the fractional version of a singular BVP occurring in the electrohydrodynamic flow in a circular cylindrical conduit (2019) (0)
- Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation (2021) (0)
- Comparing two numerical methods for approximating a new giving up smoking model with fractional order derivative (2015) (0)
- Solvability and stability of a fractional dynamical system of the growth of COVID-19 with approximate solution by fractional Chebyshev polynomials (2020) (0)
- SUBORDINATION AND SUPERORDINATION FOR CERTAIN ANALYTIC FUNCTIONS CONTAINING FRACTIONAL INTEGRAL (2009) (0)
- Solutions of Volterra Singular Time-Fractional PIDEs (2018) (0)
- A Reproducing Kernel Hilbert Space Method for Solving Integro-Differential Equations of Fractional Order (2012) (0)
- Exact solution for linear and nonlinear systems of PDES by homotopy-perturbation method (2011) (0)
- Construction of fractional power series solutions to fractional stiff system using residual functions algorithm (2019) (0)
- Fractional calculus’s adventures in Wonderland (Round table held at ICFDA 2018) (2018) (0)
- A new formulation of finite difference and finite volume methods for solving a space fractional convection–diffusion model with fewer error estimates (2021) (0)
- Optimal design of PI ρ D µ -controller for artificial ventilation systems for COVID-19 patients (2022) (0)
- Adaptation of the Novel Cubic B-Spline Algorithm for Dealing with Conformable Systems of Differential Boundary Value Problems concerning Two Points and Two Fractional Parameters (2023) (0)
- Analysis of social media addiction model with singular operator (2023) (0)
- Generalized Briot–Bouquet differential equation by a quantum difference operator in a complex domain (2020) (0)
- HOMOTOPY ANALYSIS METHOD AND DIFFUSION-CONVECTION EQUATION (2012) (0)
- Soft Numerical Algorithm with Convergence Analysis for Time-Fractional Partial IDEs Constrained by Neumann Conditions (2018) (0)
- Novel bright and kink optical soliton solutions of fractional Lakshmanan-Porsezian-Daniel equation with kerr law nonlinearity in conformable sense (2022) (0)
- The non-standard finite difference method for handling fractional differential systems (2010) (0)
- Application of Reproducing Kerneleserved@d = *@let@token 2pt Method for Solving Nonlinear Fredholm-Volterraeserved@d = *@let@token 2pt Integrodifferential Equations (2012) (0)
- New preconditioning and half-sweep accelerated overrelaxation solution for fractionaldifferential equation (2022) (0)
- A Genetic Algorithm Approach for Prediction of Linear Dynamical Systems Za ’ (2015) (0)
- The Flow of Non-Newtonian Fluids Through Curved pipes (1999) (0)
- Solutions of Fractional Verhulst Model by Modified Analytical and Numerical Approaches (2020) (0)
- Corrigendum to “New preconditioning and half-sweep accelerated overrelaxation solution for fractional differential equation” [J. King Saud Univ. – Sci. 35(2) (2023) 102461] (2023) (0)
- Multistep Approach for Nonlinear Fractional Bloch System Using Adomian Decomposition Techniques (2018) (0)
- On Efficient Fractional Caputo-type Simultaneous Scheme for Finding all Roots of Polynomial Equations with Biomedical Engineering Applications (2023) (0)
- ASYMPTOTIC ANALYSIS ABOUT THE PERIODOGRAM OF A GENERAL CLASS OF TIME SERIES MODELS WITH SPECTRAL SUPPORTSON LINES NOT PARALLEL TO THE MAIN DIAGONAL (2022) (0)
- An attractive numerical algorithm for solving nonlinear Caputo–Fabrizio fractional Abel differential equation in a Hilbert space (2021) (0)
- Fractional order measles infection model with vaccination effects (2023) (0)
- The n-Point Composite Fractional Formula for Approximating Riemann–Liouville Integrator (2023) (0)
- Series solutions of nonlinear conformable fractional KdV-Burgers equation with some applications (2019) (0)
- On (2 + 1)-dimensional physical models endowed with decoupled spatial and temporal memory indices⋆ (2019) (0)
- Solution of Fractional Mathieu Equation by Reproducing Kernel Hilbert Space Method (2015) (0)
- Identification of hysteresis models using real-coded genetic algorithms (2019) (0)
- An e cient computational method for handling singular second-order , three points Volterra integrodi erential equations (2016) (0)
- Certain saigo type fractional integral inequalities and their q-analogues (2023) (0)
- Two computational approaches for solving a fractional obstacle system in Hilbert space (2019) (0)
- Holomorphic Solutions of a Class of 3-D Propagated Wave Dynamical Equations Indicated by a Complex Conformable Calculus (2021) (0)
- Higher-dimensional physical models with multimemory indices: analytic solution and convergence analysis (2020) (0)
- Capturing of solitons collisions and reflections in nonlinear Schrödinger type equations by a conservative scheme based on MOL (2021) (0)
- Ternary-fractional differential transform schema: theory and application (2019) (0)
- Numerical solvability of generalized Bagley–Torvik fractional models under Caputo–Fabrizio derivative (2021) (0)
- A Numerical Implementation of Fractional-Order PID Controllers for Autonomous Vehicles (2023) (0)
- Impacts of entropy generation in radiative peristaltic flow of variable viscosity nanomaterial (2023) (0)
- Parametric Control on Fractional-Order Response for Lü Chaotic System (2013) (0)
- ON THE CONTINUOUS DEPENDENCE OF SOLUTIONS OF INTEGRO-FRACTIONAL DIFFERENTIAL EQUATIONS WITH RESPECT TO INITIAL CONDITIONS (2016) (0)
- HYPERCHAOTIC DYNAMICS OF A NEW FRACTIONAL DISCRETE-TIME SYSTEM (2021) (0)
- Radiative and dissipative flow of hybrid nanofluid between two coaxial cylinders: A comparative numerical study (2023) (0)
- A Novel Numerical Algorithm to Solve Systems of Fuzzy Differential Equations of Fractional and Integer Order Using Reproducing Hilbert Space Method (2016) (0)
- A FRACTAL-FRACTIONAL 2019-NCOV MODEL OF MAJOR DISASTER FOR HUMAN LIFE (2021) (0)
- A THEORETICAL STUDY ON FRACTIONAL EBOLA HEMORRHAGIC FEVER MODEL (2021) (0)
- Exact Soliton Solutions for Conformable Fractional six wave Interaction Equations by the Ansatz Method (2022) (0)
- Computers and Mathematics with Applications Application of Legendre wavelets for solving fractional differential equations (2021) (0)
- DC Motor Speed Control via FoPID-Controllers (2022) (0)
- Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation (2021) (0)
- Robotnov function based operator for biological population model of biology (2021) (0)
- Explicit solutions for fractional Chaffee–Infante reaction–diffusion coupled hierarchy system with conservation laws (2023) (0)
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