José António Tenreiro Machado

José António Tenreiro Machado's AcademicInfluence.com Rankings

Engineering

#1851

World Rank

#2639

Historical Rank

Applied Physics

#178

World Rank

#187

Historical Rank

engineering Degrees

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Engineering

José António Tenreiro Machado's Degrees

PhD Electrical and Computer Engineering University of Porto
Masters Electrical and Computer Engineering University of Porto
Bachelors Electrical and Computer Engineering University of Porto

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José António Tenreiro Machado'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

Recent history of fractional calculus (2011) (1305)
Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering (2007) (1230)
Advances in Fractional Calculus (2007) (1190)
New Trends in Nanotechnology and Fractional Calculus Applications (2010) (633)
Fractional Dynamics and Control (2011) (590)
A Review of Definitions for Fractional Derivatives and Integral (2014) (389)
Analysis and design of fractional-order digital control systems (1997) (386)
Towards the development of intelligent transportation systems (2001) (380)
The role of fractional calculus in modeling biological phenomena: A review (2017) (377)
What is a fractional derivative? (2015) (351)
Tuning of PID Controllers Based on Bode’s Ideal Transfer Function (2004) (290)
Some Applications of Fractional Calculus in Engineering (2010) (261)
Discrete-time fractional-order controllers (2001) (252)
A new fractional operator of variable order: Application in the description of anomalous diffusion (2016) (245)
Fractional Order Calculus: Basic Concepts and Engineering Applications (2010) (235)
Development of fractional order capacitors based on electrolyte processes (2009) (229)
A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL Application to the Modelling of the Steady Heat Flow (2015) (225)
Fractional calculus: A survey of useful formulas (2013) (214)
A review of definitions of fractional derivatives and other operators (2019) (210)
Particle swarm optimization with fractional-order velocity (2010) (204)
A review of operational matrices and spectral techniques for fractional calculus (2015) (185)
Fractional signal processing and applications (2003) (183)
Time domain design of fractional differintegrators using least-squares (2006) (180)
On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. (2016) (177)
EXACT TRAVELING-WAVE SOLUTION FOR LOCAL FRACTIONAL BOUSSINESQ EQUATION IN FRACTAL DOMAIN (2017) (160)
Analysis of the Van der Pol Oscillator Containing Derivatives of Fractional Order (2007) (157)
Stability of Fractional Order Systems (2013) (154)
A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach (2016) (151)
A review of power laws in real life phenomena (2012) (147)
Fractional Electrical Impedances in Botanical Elements (2008) (147)
On development of fractional calculus during the last fifty years (2013) (143)
On a fractal LC-electric circuit modeled by local fractional calculus (2017) (139)
On the formulation and numerical simulation of distributed-order fractional optimal control problems (2017) (138)
Fractional-order hybrid control of robot manipulators (1998) (135)
Optimal variable-order fractional PID controllers for dynamical systems (2018) (130)
Introducing the fractional-order Darwinian PSO (2012) (128)
Chaotic Phenomena and Fractional-Order Dynamics in the Trajectory Control of Redundant Manipulators (2002) (128)
Fractional calculus applications in signals and systems (2006) (125)
Fractional Order Control of a Hexapod Robot (2004) (122)
Some pioneers of the applications of fractional calculus (2013) (120)
Robust fixed point transformations in adaptive control using local basin of attraction (2009) (120)
Modeling of the Lung Impedance Using a Fractional-Order Ladder Network With Constant Phase Elements (2011) (118)
Fractional Order Generalized Information (2014) (113)
Fractional order inductive phenomena based on the skin effect (2012) (111)
The Chronicles of Fractional Calculus (2017) (106)
Fractional order electromagnetics (2006) (99)
Fractional model for malaria transmission under control strategies (2013) (99)
Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method (2020) (99)
Energy analysis during biped walking (1999) (98)
Nonlinear dynamics for local fractional Burgers’ equation arising in fractal flow (2016) (98)
Pseudo Phase Plane and Fractional Calculus modeling of western global economic downturn (2015) (95)
New complex waves in nonlinear optics based on the complex Ginzburg-Landau equation with Kerr law nonlinearity (2019) (92)
And I say to myself: “What a fractional world!” (2011) (88)
Fractional derivatives: Probability interpretation and frequency response of rational approximations (2009) (88)
An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations (2016) (88)
A Historical Perspective of Legged Robots (2007) (88)
A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations (2017) (88)
Entropy Analysis of Integer and Fractional Dynamical Systems (2010) (87)
A new fractal nonlinear Burgers' equation arising in the acoustic signals propagation (2019) (86)
Fractional State Space Analysis of Economic Systems (2015) (85)
Special Issue on Fractional signal Processing and applications (2003) (85)
Stability and synchronization of fractional-order memristive neural networks with multiple delays (2017) (84)
A critical analysis of the Caputo-Fabrizio operator (2018) (83)
Science metrics on fractional calculus development since 1966 (2013) (80)
Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications (2017) (80)
A Poster about the Old History of Fractional Calculus (2010) (78)
Mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis (2013) (78)
ANOMALOUS DIFFUSION MODELS WITH GENERAL FRACTIONAL DERIVATIVES WITHIN THE KERNELS OF THE EXTENDED MITTAG-LEFFLER TYPE FUNCTIONS (2017) (77)
Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions (2013) (77)
A New Family of the Local Fractional PDEs (2017) (74)
Fractional generalization of memristor and higher order elements (2013) (72)
The dynamical behavior of mixed-type soliton solutions described by (2+1)-dimensional Bogoyavlensky–Konopelchenko equation with variable coefficients (2018) (71)
Local Fractional Variational Iteration and Decomposition Methods for Wave Equation on Cantor Sets within Local Fractional Operators (2014) (71)
On nonautonomous complex wave solutions described by the coupled Schrödinger–Boussinesq equation with variable-coefficients (2018) (70)
An Overview of Legged Robots (2006) (68)
Trajectory planning of redundant manipulators using genetic algorithms (2009) (68)
Effect of fractional orders in the velocity control of a servo system (2010) (67)
A literature review on the optimization of legged robots (2012) (67)
Manipulator trajectory planning using a MOEA (2007) (67)
Fractional differentiation and its applications I (2013) (66)
Fractional Calculus: Quo Vadimus? (Where are we Going?) (2015) (65)
Introduction to Fractional Differential Equations (2018) (65)
Fractional dynamics and MDS visualization of earthquake phenomena (2013) (65)
The generalized Kudryashov method for nonlinear space–time fractional partial differential equations of Burgers type (2018) (63)
Fractional dynamics in DNA (2011) (63)
Numerical Solution of the Two-Sided Space–Time Fractional Telegraph Equation Via Chebyshev Tau Approximation (2017) (63)
An Efficient Numerical Scheme for Solving Multi‐Dimensional Fractional Optimal Control Problems With a Quadratic Performance Index (2015) (62)
Implementation of Discrete-Time Fractional- Order Controllers based on LS Approximations (2006) (62)
Efficient Legendre spectral tau algorithm for solving the two-sided space–time Caputo fractional advection–dispersion equation (2016) (61)
Fractional dynamics in the trajectory control of redundant manipulators (2008) (61)
A Theoretical Study on Modeling the Respiratory Tract With Ladder Networks by Means of Intrinsic Fractal Geometry (2010) (61)
Fractional Order PDαJoint Control of Legged Robots (2006) (60)
New nonautonomous combined multi-wave solutions for ($$\varvec{2+1}$$2+1)-dimensional variable coefficients KdV equation (2018) (60)
Analysis of financial data series using fractional Fourier transform and multidimensional scaling (2011) (59)
A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels (2017) (59)
Variable order fractional systems (2019) (59)
An integro quadratic spline approach for a class of variable-order fractional initial value problems (2017) (58)
Optimal tuning of fractional controllers using genetic algorithms (2010) (58)
Identifying economic periods and crisis with the multidimensional scaling (2011) (58)
Delay-dependent criterion for asymptotic stability of a class of fractional-order memristive neural networks with time-varying delays (2019) (56)
A multi-objective approach for the motion planning of redundant manipulators (2012) (56)
A Survey of Technologies for Climbing Robots Adhesion to Surfaces (2008) (54)
Modelling and simulation of artificial locomotion systems (2005) (54)
Analysis of stock market indices through multidimensional scaling (2011) (54)
Rare and extreme events: the case of COVID-19 pandemic (2020) (53)
A critical analysis of the conformable derivative (2019) (53)
A Survey of Technologies and Applications for Climbing Robots Locomotion and Adhesion (2010) (53)
Relative fractional dynamics of stock markets (2016) (52)
Analysis of temperature time-series: Embedding dynamics into the MDS method (2014) (52)
Fractional-Order Devices (2017) (52)
Fractional dynamics and its applications (2015) (50)
Nonlinear dynamics of the patient's response to drug effect during general anesthesia (2015) (50)
Performance of Fractional PID Algorithms Controlling Nonlinear Systems with Saturation and Backlash Phenomena (2007) (50)
Dynamical Stability and Predictability of Football Players: The Study of One Match (2014) (49)
Describing Function Analysis of Systems with Impacts and Backlash (2002) (49)
Application of fractional algorithms in the control of a robotic bird (2010) (49)
A spectral framework for fractional variational problems based on fractional Jacobi functions (2018) (49)
Numerical solution of variable-order fractional integro-partial differential equations via Sinc collocation method based on single and double exponential transformations (2020) (49)
A fractional perspective to the bond graph modelling of world economies (2015) (48)
A fuzzified systematic adjustment of the robotic Darwinian PSO (2012) (48)
Experimental Signal Analysis of Robot Impacts in a Fractional Calculus Perspective (2007) (46)
Calculation of fractional derivatives of noisy data with genetic algorithms (2009) (46)
An extension of estimation of domain of attraction for fractional order linear system subject to saturation control (2015) (46)
A computationally efficient method for tempered fractional differential equations with application (2018) (44)
Analysis and Visualization of Seismic Data Using Mutual Information (2013) (44)
Partial chaos suppression in a fractional order macroeconomic model (2016) (44)
Stability analysis of a class of nonlinear fractional‐order systems under control input saturation (2018) (44)
The recovery of global stock markets indices after impacts due to pandemics (2020) (43)
Fractional-order impulse response of the respiratory system (2011) (43)
Optimal Controllers with Complex Order Derivatives (2013) (43)
Which Derivative? (2017) (43)
Chebyshev spectral methods for multi-order fractional neutral pantograph equations (2020) (42)
An Efficient Operational Matrix Technique for Multidimensional Variable-Order Time Fractional Diffusion Equations (2016) (42)
Generalized shifted Chebyshev polynomials for fractional optimal control problems (2019) (42)
SM-Algorithms for Approximating the Variable-Order Fractional Derivative of High Order (2017) (42)
Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport (2021) (42)
A Fractional Calculus Perspective of PID Tuning (2003) (41)
Fractional Derivatives: The Perspective of System Theory (2019) (41)
Numerical approach for a class of distributed order time fractional partial differential equations (2019) (40)
Numerical approach for solving variable-order space–time fractional telegraph equation using transcendental Bernstein series (2019) (40)
Fractional fixed-structure H∞ controller design using Augmented Lagrangian Particle Swarm Optimization with Fractional Order Velocity (2019) (40)
Multidimensional Scaling Visualization Using Parametric Similarity Indices (2015) (40)
Dynamic stability analysis of fractional order leaky integrator echo state neural networks (2017) (40)
Numerical approach for modeling fractal mobile/immobile transport model in porous and fractured media (2020) (39)
On Local Fractional Continuous Wavelet Transform (2013) (39)
An innovative fractional order LMS algorithm for power signal parameter estimation (2020) (39)
Uniform stability of Fractional Order Leaky Integrator Echo State Neural Network with multiple time delays (2017) (39)
Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments (2021) (39)
An evolutionary approach for the motion planning of redundant and hyper-redundant manipulators (2010) (39)
Complex-order dynamics in hexapod locomotion (2006) (39)
Analysis of Natural and Artificial Phenomena Using Signal Processing and Fractional Calculus (2015) (39)
Fractional-order derivative approximations in discrete-time control systems (1998) (38)
Analysis of diffusion process in fractured reservoirs using fractional derivative approach (2014) (38)
Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations (2020) (38)
Fractional Dynamics in Financial Indices (2012) (37)
Multi-objective MaxiMin Sorting Scheme (2005) (37)
Describing function of two masses with backlash (2009) (37)
Possible adaptive control by tangent hyperbolic fixed point transformations used for controlling the -6-type van der pol oscillator (2008) (36)
Approximating fractional derivatives through the generalized mean (2009) (36)
Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics (2020) (36)
Wavelet analysis of human DNA. (2011) (36)
Fractional order electrical impedance of fruits and vegetables (2006) (36)
Numerical study of the nonlinear anomalous reaction-subdiffusion process arising in the electroanalytical chemistry (2021) (36)
Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems (2021) (36)
Implementation of fractional-order electromagnetic potential through a genetic algorithm (2009) (36)
Approximating fractional derivatives in the perspective of system control (2009) (35)
Relativistic time effects in financial dynamics (2014) (35)
Discontinuity and complexity in nonlinear physical systems (2014) (35)
Lyapunov method for the stability analysis of uncertain fractional-order systems under input saturation (2020) (35)
Fractional order description of DNA (2015) (35)
Delay-dependent stability analysis of the QUAD vector field fractional order quaternion-valued memristive uncertain neutral type leaky integrator echo state neural networks (2019) (35)
Robot Trajectory Planning Using Multi-objective Genetic Algorithm Optimization (2004) (34)
Kinematic and dynamic performance analysis of artificial legged systems (2008) (34)
Fractional order dynamics in a GA planner (2003) (34)
Complex dynamics of financial indices (2013) (34)
Solving Two-Dimensional Variable-Order Fractional Optimal Control Problems With Transcendental Bernstein Series (2019) (34)
An efficient local meshless approach for solving nonlinear time-fractional fourth-order diffusion model (2020) (34)
Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model (2021) (34)
Design and implementation of grid multi-scroll fractional-order chaotic attractors. (2016) (34)
Numerical investigation of the nonlinear modified anomalous diffusion process (2019) (33)
A Robust Algorithm for Nonlinear Variable-Order Fractional Control Systems with Delay (2018) (33)
Numerical solution of the fractional Rayleigh–Stokes model arising in a heated generalized second-grade fluid (2020) (33)
Rhapsody in fractional (2014) (33)
Application of Integer and Fractional Models in Electrochemical Systems (2012) (33)
A new numerical technique for local fractional diffusion equation in fractal heat transfer (2016) (32)
Design of momentum fractional LMS for Hammerstein nonlinear system identification with application to electrically stimulated muscle model (2019) (32)
Stabilization of Fractional-Order Systems Subject to Saturation Element Using Fractional Dynamic Output Feedback Sliding Mode Control (2017) (32)
Milk Characterization Using Electrical Impedance Spectroscopy and Fractional Models (2018) (32)
A fractional perspective on the trajectory control of redundant and hyper-redundant robot manipulators (2017) (32)
Optimal approximation of fractional derivatives through discrete-time fractions using genetic algorithms (2010) (31)
A new insight into complexity from the local fractional calculus view point: modelling growths of populations (2017) (31)
The failure of certain fractional calculus operators in two physical models (2019) (31)
Fractional describing function of systems with Coulomb friction (2009) (31)
Delay independent robust stability analysis of delayed fractional quaternion-valued leaky integrator echo state neural networks with QUAD condition (2019) (31)
Chaos suppression in fractional systems using adaptive fractional state feedback control (2017) (30)
Fractional order modelling of dynamic backlash (2013) (30)
On the Fractional PID Control of a Laboratory Servo System (2008) (30)
Control of a heat diffusion system through a fractional order nonlinear algorithm (2010) (30)
Variable structure control of robots with nonlinear friction and backlash at the joints (1996) (30)
Fractional order modelling of fractional-order holds (2012) (29)
Computational scheme for solving nonlinear fractional stochastic differential equations with delay (2019) (29)
Exact Travelling Wave Solutions for Local Fractional Partial Differential Equations in Mathematical Physics (2018) (29)
Numerical evaluation of the fractional Klein-Kramers model arising in molecular dynamics (2020) (29)
Numerical approximation of the time fractional cable model arising in neuronal dynamics (2020) (29)
Fractional dynamic behavior in ethanol prices series (2018) (28)
Optimal control of variable-order fractional model for delay cancer treatments (2021) (28)
COMPARISON OF FRACTIONAL AND INTEGER ORDER CONTROL OF AN HEXAPOD ROBOT (2003) (28)
Dynamics of the fractional-order Van der Pol oscillator (2004) (28)
Trends, directions for further research, and some open problems of fractional calculus (2021) (27)
An Evolutionary Approach to Robot Structure and Trajectory Optimization (27)
Entropy Diversity in Multi-Objective Particle Swarm Optimization (2013) (27)
Robust asymptotic stability of interval fractional-order nonlinear systems with time-delay (2018) (27)
Fractional central pattern generators for bipedal locomotion (2010) (27)
Robust stability and stabilization of uncertain fractional order systems subject to input saturation (2018) (27)
A Spectral Numerical Method for Solving Distributed-Order Fractional Initial Value Problems (2018) (27)
Fractional derivatives and periodic functions (2017) (27)
A novel color image encryption algorithm based on a fractional-order discrete chaotic neural network and DNA sequence operations (2020) (27)
Intelligent Engineering Systems and Computational Cybernetics (2010) (26)
Dynamical analysis of freeway traffic (2004) (26)
Legendre–Gauss–Lobatto collocation method for solving multi-dimensional Fredholm integral equations (2016) (26)
Shannon, Rényie and Tsallis entropy analysis of DNA using phase plane (2011) (26)
A fractional approach for the motion planning of redundant and hyper-redundant manipulators (2011) (26)
Analysis of robot dynamics and compensation using classical and computed torque techniques (1993) (26)
Root locus of fractional linear systems (2011) (26)
Stability analysis of fractional Quaternion-Valued Leaky Integrator Echo State Neural Networks with multiple time-varying delays (2019) (26)
Fractional-order modeling of a diode (2019) (25)
Analysis of Stock Market Indices with Multidimensional Scaling and Wavelets (2012) (25)
Which differintegration? [fractional calculus] (2005) (25)
New trends in fractional dynamics (2014) (25)
Recent history of the fractional calculus: data and statistics (2019) (24)
Application of variable-order fractional calculus in solid mechanics (2019) (24)
Multidimensional scaling analysis of virus diseases (2016) (24)
Numerical solution of mixed-type fractional functional differential equations using modified Lucas polynomials (2019) (24)
Histogram-based DNA analysis for the visualization of chromosome, genome and species information (2011) (24)
On the fractional-order modeling of wine (2017) (24)
Systems Analysis and Simulation (1988) (24)
Fractional Dynamics: A Statistical Perspective (2007) (24)
Fractional dynamics of a system with particles subjected to impacts (2011) (24)
Complex-order particle swarm optimization (2021) (23)
On the numerical computation of the Mittag-Leffler function (2014) (23)
Hybrid adaptive control of a dragonfly model (2012) (23)
A GA perspective of the energy requirements for manipulators maneuvering in a workspace with obstacles (2000) (23)
Evolutionary Design of Combinational Logic Circuits (2004) (23)
Efficient fractional-order modified Harris hawks optimizer for proton exchange membrane fuel cell modeling (2021) (23)
Fractional order describing functions (2015) (23)
Analytical Solution of Fractional Order Diffusivity Equation With Wellbore Storage and Skin Effects (2016) (23)
Analysis of World Economic Variables Using Multidimensional Scaling (2014) (23)
Time analysis of forced variable-order fractional Van der Pol oscillator (2017) (23)
Multidimensional scaling locus of memristor and fractional order elements (2020) (23)
Entropy analysis of the DNA code dynamics in human chromosomes (2011) (23)
On the describing function method and the prediction of limit cycles in nonlinear dynamical systems (1998) (22)
Suggestion from the Past (2004) (22)
Stabilization of Uncertain Multi‐Order Fractional Systems Based on the Extended State Observer (2018) (22)
Generation of a family of fractional order hyper-chaotic multi-scroll attractors (2017) (22)
Analysis of global terrorism dynamics by means of entropy and state space portrait (2016) (22)
Jacobi Collocation Approximation for Solving Multi-dimensional Volterra Integral Equations (2017) (21)
Application of Fractional Calculus in the Control of Heat Systems (2007) (21)
Detection of quasi-periodic processes in complex systems: how do we quantitatively describe their properties? (2013) (21)
Pole-zero approximations of digital fractional-order integrators and differentiators using signal mo (2005) (21)
Improved Decentralized Fractional PD Control of Structure Vibrations (2020) (21)
Variable Structure Control of Systems with Nonlinear Friction and Dynamic Backlash (1996) (21)
Fractional-order position/force robot control (2005) (21)
Fractional Jensen-Shannon Analysis of the Scientific Output of Researchers in Fractional Calculus (2017) (21)
Sufficient conditions for existence and uniqueness of fractional stochastic delay differential equations (2020) (21)
The effect of fractional order in variable structure control (2012) (20)
Analysis of fractional-order robot axis dynamics (2006) (20)
Generalized shifted Chebyshev polynomials: Solving a general class of nonlinear variable order fractional PDE (2020) (20)
Fractional electronic circuit simulation of a nonlinear macroeconomic model (2018) (20)
A new operational approach for solving fractional variational problems depending on indefinite integrals (2018) (20)
Modeling and Control of a Dragonfly-Like Robot (2010) (20)
Design of fractional evolutionary processing for reactive power planning with FACTS devices (2021) (20)
A combined measure to differentiate EEG signals using fractal dimension and MFDFA-Hurst (2020) (20)
Entropy Analysis of Fractional Derivatives and Their Approximation (2012) (20)
Kinematic aspects of robotic biped locomotion systems (1997) (20)
A review on the characterization of signals and systems by power law distributions (2015) (20)
Pseudoinverse trajectory control of redundant manipulators: a fractional calculus perspective (2002) (20)
Self-similarity principle: the reduced description of randomness (2013) (20)
On the robustness of the Slotine-Li and the FPT/SVD-based adaptive controllers (2008) (20)
Solitary Wave Solutions of the Generalized Rosenau-KdV-RLW Equation (2020) (19)
Entropy Analysis of Soccer Dynamics (2019) (19)
Application of the Euler and Runge–Kutta Generalized Methods for FDE and Symbolic Packages in the Analysis of Some Fractional Attractors (2019) (19)
And I say to myself: “What a fractional world!” (2011) (19)
Understanding COVID-19 nonlinear multi-scale dynamic spreading in Italy (2020) (19)
Fractional PID controller in an active image stabilization system for mitigating vibration effects in agricultural tractors (2016) (19)
Interactive Evolutionary Computation in music (2010) (19)
Dynamics of the N-link pendulum: a fractional perspective (2017) (19)
Condition-based diagnosis of mechatronic systems using a fractional calculus approach (2016) (19)
Performance analysis of multi-legged systems (2002) (19)
Tuning and Application of Integer and Fractional Order PID Controllers (2009) (19)
Fractional State Space Analysis of Temperature Time Series (2015) (19)
A statistical perspective to the fourier analysis of mechanical manipulators (1998) (19)
Double power laws, fractals and self-similarity (2014) (18)
An optimization technique for solving a class of nonlinear fractional optimal control problems: Application in cancer treatment (2021) (18)
Analysis of the two-dimensional fractional projectile motion in view of the experimental data (2019) (18)
An effective numerical method for solving nonlinear variable-order fractional functional boundary value problems through optimization technique (2019) (18)
Highly Accurate Scheme for the Cauchy Problem of the Generalized Burgers-Huxley Equation (2016) (18)
Artistic painting: A fractional calculus perspective (2019) (18)
Atrial Rotor Dynamics Under Complex Fractional Order Diffusion (2018) (18)
Entropy Analysis of a Railway Network's Complexity (2016) (18)
Strategies for the Control of Heat Diffusion Systems Based on Fractional Calculus (2006) (18)
Fractional coins and fractional derivatives (2013) (18)
On local fractional operators View of computational complexity: Diffusion and relaxation defined on cantor sets (2016) (18)
Fractional Dynamics : A Statistical Perspective (2008) (17)
Variable structure control of manipulators with compliant joints (1993) (17)
Multidimensional scaling analysis of soccer dynamics (2017) (17)
Matrix fractional systems (2015) (17)
Variable structure control of manipulators with joints having flexibility and backlash (1996) (17)
Electrochemical impedance spectroscopy characterization of beverages. (2019) (17)
Dynamical modelling of a genetic algorithm (2006) (17)
Nonlinear and Complex Dynamics: Applications in Physical, Biological, and Financial Systems (2011) (17)
Complex Order Biped Rhythms (2011) (17)
The Persistence of Memory (2015) (17)
Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations (2021) (17)
Time-Delay and Fractional Derivatives (2011) (17)
Discrete fractional order system vibrations (2015) (17)
On fractional vectorial calculus (2018) (17)
Accessing complexity from genome information (2012) (17)
Mechanical properties and impedance model for the branching network of the sapping system in the leaf of Hydrangea Macrophylla (2010) (16)
Application of the Local Fractional Fourier Series to Fractal Signals (2014) (16)
A Review of Fractional Order Entropies (2020) (16)
A Chebyshev Wavelet Collocation Method for Some Types of Differential Problems (2021) (16)
Multidimensional scaling and visualization of patterns in prime numbers (2020) (16)
Relativistic time effects in financial dynamics (2014) (16)
Analytical stability analysis of the fractional-order particle swarm optimization algorithm (2022) (16)
Special issue on modelling and control of intelligent transportation systems (ITS) (2007) (16)
ROBLIB: An Educational Program for Robotics (2000) (16)
Fractional Control With a Smith Predictor (2011) (16)
Numerical calculation of the left and right fractional derivatives (2015) (16)
On multistep tumor growth models of fractional variable-order (2020) (16)
A new non-standard finite difference method for analyzing the fractional Navier-Stokes equations (2019) (16)
Robust stability of uncertain fractional order systems of neutral type with distributed delays and control input saturation. (2020) (15)
FRACTIONAL ELECTRICAL DYNAMICS IN FRUITS AND VEGETABLES (2006) (15)
Fractional calculus analysis of the cosmic microwave background (2013) (15)
Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations (2021) (15)
Multidimensional scaling analysis of fractional systems (2012) (15)
Integer/fractional decomposition of the impulse response of fractional linear systems (2015) (15)
The $$\psi $$-Hilfer fractional calculus of variable order and its applications (2020) (14)
Discretization of Complex-order Algorithms for Control Applications (2008) (14)
A statistical and harmonic model for robot manipulators (1997) (14)
Fractional Particle Swarm Optimization (2014) (14)
Goal-oriented biped walking based on force interaction control (2001) (14)
Multi-objective Genetic Manipulator Trajectory Planner (2004) (14)
Fractional Rényi entropy⋆ (2019) (13)
A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains (2019) (13)
A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay (2020) (13)
FRACTIONAL DYNAMICS IN GENETIC ALGORITHMS (2006) (13)
FRACTIONAL DYNAMICS IN THE DESCRIBING FUNCTION ANALYSIS OF NONLINEAR FRICTION (2006) (13)
Nonlinear Science and Complexity (2011) (13)
Variable coefficient fractional‐order PID controller and its application to a SEPIC device (2020) (13)
Fractional dynamics in the Rayleigh's piston (2016) (13)
The Ã -Hilfer fractional calculus of variable order and its applications (2020) (13)
Double color image encryption based on fractional order discrete improved Henon map and Rubik's cube transform (2021) (13)
A new glance on the Leibniz rule for fractional derivatives (2018) (13)
A smooth variable structure control algorithm for robot manipulators (1988) (13)
Stability analysis of fractional order neutral‐type systems considering time varying delays, nonlinear perturbations, and input saturation (2020) (13)
Complex dynamics in the trajectory control of redundant manipulators (2006) (13)
Multidimensional Scaling Analysis of Stock Market Indexes (2011) (13)
Multidimensional Scaling Analysis of the Dynamics of a Country Economy (2013) (13)
An efficient numerical technique for variable order time fractional nonlinear Klein-Gordon equation (2020) (13)
History and Progress of Fractional-Order Element Passive Emulators: A Review (2020) (13)
Exploiting sensor redundancy for the calculation of fractional derivatives in the presence of noise (2012) (13)
Chaos dynamics in the trajectory control of redundant manipulators (2000) (13)
Dynamical Analysis of the Global Warming (2012) (12)
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A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains (2019) (1)
Preface (2020) (1)
Dynamics and optimal control of multibody systems using fractional generalized divide-and-conquer algorithm (2020) (1)
Dynamic Efficiency During Bipedal Walking (1998) (1)
Controllability analysis of biped walking robots (2000) (1)
Multi-Criteria Optimization Manipulator Trajectory Planning (2010) (1)
Closed-form Solution for The Finite-horizon Linear-quadratic Control Problem of Linear Fractional-order Systems (2021) (1)
Computational comparison and pattern visualization of forest fires (2017) (1)
A new hybrid method for two dimensional nonlinear variable order fractional optimal control problems (2020) (1)
A Variable Structure Control Algorithm for Robot Manipulators Using Acceleration Feedback (1990) (1)
Design Optimization of Radio Frequency Discrete Tuning Varactors (2009) (1)
Integer and fractional-order entropy analysis of earthquake data series (2015) (1)
Reply to: Comments on “Particle Swarm Optimization with Fractional-Order Velocity” (2014) (1)
Complex Systems and Fractional Dynamics (2018) (1)
Application of Robust Fixed Point Transformations for Technological Operation of Robots (2009) (1)
Casualties Distribution in Human and Natural Hazards (2014) (1)
Modelling and Design of a Tridimensional Compliant Leg for Bioloid Quadruped (2014) (1)
A GA perspective of the energy requirements for manipulators maneuvering in a workspace with obstacles (2000) (1)
Fixed Point Transformations in the Adaptive Control of Fractional-order MIMO Systems (2009) (1)
Discrete-time systems and Z -transform (2016) (1)
Design of Radio-Frequency Integrated CMOS Discrete Tuning Varactors Using the Particle Swarm Optimization Algorithm (2009) (1)
Hexapod control through a fractional algorithm (2004) (1)
Income-Oriented Broadcast Access Planning with xDSL and APON-FTTC (2001) (1)
Multidimensional Analysis of Near-Earth Asteroids (2022) (1)
APLICATION OF FRACTIONAL ALGORITMS IN THE CONTROL OF AN HELICOPTER SYSTEM (2013) (1)
Fractional control of dynamic systems (2011) (1)
A higher order adaptive approach to tackle the swinging problem (2009) (1)
Dynamics of freeway traffic (2005) (1)
The 21st Century Systems: An Updated Vision of Discrete-Time Fractional Models (2022) (1)
Application of Fractional Calculus in Mechatronics (2004) (1)
Fractional generalization of entropy improves the characterization of rotors in simulated atrial fibrillation (2022) (1)
Chebyshev spectral methods for multi-order fractional neutral pantograph equations (2020) (1)
Visualizing Fractional Control System Approximations by Means of Multidimensional Scaling (2011) (1)
Towards the real-time control of robotic systems (1991) (1)
On nonautonomous complex wave solutions described by the coupled Schrödinger–Boussinesq equation with variable-coefficients (2018) (1)
Local convergence of iterative methods for solving equations and system of equations using weight function techniques (2019) (1)
Fractional Differential Equations (2018) (1)
FRACTIONAL MODELLING OF THE ELECTRICAL CONDUCTION IN NACL ELECTROLYTE (2008) (1)
FRACTIONAL PDα CONTROL OF AN HEXAPOD ROBOT (2006) (1)
Processor-In-the-Loop Simulation (2017) (1)
Decoupled fixed point transformation based adaptive control of the generalized 2 DOF Φ6-type Van der Pol oscillator (2009) (0)
A Fourier perspective in multi-legged systems (2001) (0)
Towards the statistical modelling of robotic manipulators (1991) (0)
Absolutely stable difference scheme for a general class of singular perturbation problems (2020) (0)
Fractional dynamics and its applications (2015) (0)
Science metrics on fractional calculus development since 1966 (2013) (0)
Fractional fractals (2020) (0)
POWERENG2007 International Conference on Power Engineering - Energy and Electrical Drives Proceedings (2007) (0)
Takagi-Sugeno Fuzzy Logic Systems (2017) (0)
Kolmogorov complexity as a data similarity metric: application in mitochondrial DNA (2018) (0)
Reproducing Kernel Method to Detect the Temperature Distribution for Annular Fins with Temperature-Dependent Thermal Conductivity (2022) (0)
Fuzzy Logic Systems (2017) (0)
On the Analysis of Data Emerging in Non-linear and Complex Systems Comparison of two X-ray Prony spectra (2016) (0)
Mathematical and computational modeling of political systems (2019) (0)
Model Predictive Control Using Type-2 Takagi-Sugeno Fuzzy Systems (2017) (0)
Fractional derivatives and periodic functions (2015) (0)
System Modeling Using Type-2 Takagi-Sugeno Fuzzy Systems (2017) (0)
Numerical analysis of time-fractional Sobolev equation for fluid-driven processes in impermeable rocks (2022) (0)
Multidimensional Scaling Applied to Histogram-Based DNA Analysis (2012) (0)
On the statistical and Fourier modelling of robot motion (2000) (0)
A review of operational matrices and spectral techniques for fractional calculus (2015) (0)
The generalized Kudryashov method for nonlinear space–time fractional partial differential equations of Burgers type (2018) (0)
LMI-based stability analysis of fractional order systems of neutral type with time varying delays under actuator saturation (2021) (0)
Existence of Bounded Solutions to a Modified Version of the Bagley–Torvik Equation (2020) (0)
Fuzzy logic embedding of fractional order sliding mode and state feedback controllers for synchronization of uncertain fractional chaotic systems (2020) (0)
Optimal Controllers with Complex Order Derivatives (2012) (0)
Optimal solution of a general class of nonlinear system of fractional partial differential equations using hybrid functions (2022) (0)
The Persistence of Memory (2014) (0)
Nonlinear dynamics for local fractional Burgers’ equation arising in fractal flow (2015) (0)
Stability of multidimensional systems using bio-inspired meta-heuristics (2018) (0)
Generalized Systems (2018) (0)
A fractional perspective to financial indices (2014) (0)
Numerical Solution of the Two-Sided Space–Time Fractional Telegraph Equation Via Chebyshev Tau Approximation (2016) (0)
A fractional approach to the Fermi-Pasta-Ulam problem (2013) (0)
Numerical solution of the fractional Rayleigh–Stokes model arising in a heated generalized second-grade fluid (2020) (0)
A novel method for the modelling of mechanical manipulators (1997) (0)
The Laplace Transform (2018) (0)
Analysis and visualization of complex phenomena (2015) (0)
Fractional calculus’s adventures in Wonderland (Round table held at ICFDA 2018) (2018) (0)
A fractional perspective to the modelling of Lisbon’s public transportation network (2018) (0)
Absolutely stable difference scheme for a general class of singular perturbation problems (2020) (0)
Application of continuous wavelet transform to the analysis of the modulus of the fractional Fourier transform bands for resolving two component mixture (2013) (0)
Man-machine processes in modeling based engineering activities (1998) (0)
On development of fractional calculus during the last fifty years (2013) (0)
A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay (2019) (0)
Revisiting the 1D and 2D Laplace Transforms (2020) (0)
A Chebyshev Spatial Discretization Method for Solving Fractional Fokker–Planck Equation with Riesz Derivatives (2020) (0)
Microcomputer evaluation in robot control (1990) (0)
Relative fractional dynamics of stock markets (2016) (0)
Journal Applied Nonlinear Dynamics On Local Fractional Continuous Wavelet Transform (2013) (0)
Relation Between New Rooted Trees and Derivatives of Differential Equations (2021) (0)
Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions (2013) (0)
Biped locomotion systems: a kinematic point of view (1997) (0)
Special Functions (2018) (0)
Generalized Bernoulli Polynomials: Solving Nonlinear 2D Fractional Optimal Control Problems (2020) (0)
Intrinsic Fractal Dynamics in the Respiratory System by Means of Pressure–Volume Loops (2011) (0)
Chaotic Behavior in the Pseudoinverse Control of Redundant and Hyper-Redundant Robots (2000) (0)
Simulation , Dynamics and Control of Freeway Traffic (2005) (0)
Analysis of a Fractional-Order Nonlinear System with Hysteresis Nonlinearity via Describing Function (2015) (0)
Analysis of UV spectral bands using multidimensional scaling (2013) (0)
Special Issue: Advances in Fractional Differential Equations (V): Time-Space Fractional PDEs (2019) (0)
Multidimensional analysis of particles (2022) (0)
Numerical Solutions for ODEs with Local Fractional Derivative (2015) (0)
An Evolutionary Perspective of Virus Propagation (2020) (0)
Accurate splitting approach to characterize the solution set of boundary layer problems (2019) (0)
Fractional-Order Fourier Analysis of the DNA (2013) (0)
Time analysis of forced variable-order fractional Van der Pol oscillator (2017) (0)
Multidimensional Scaling Analysis of Electricity Market Prices (2013) (0)
Comparison and Visualization of the DNA of Six Primates (2014) (0)
Fractional Rényi entropy⋆ (2019) (0)
Towards a classification scheme for musical sounds (2013) (0)
A fractional perspective to the bond graph modelling of world economies (2014) (0)
Entropy analysis of the genetic sequence of six species (2012) (0)
Computational Comparison and Visualization of Viruses in the Perspective of Clinical Information (2017) (0)
Fractional Dynamics in Forest Fires (2013) (0)
Analysis of global terrorism dynamics by means of entropy and state space portrait (2016) (0)
FRACTIONAL-ORDER DYNAMICS IN FREEWAY TRAFFIC (2011) (0)
Bond graph and memristor approach to DNA analysis (2016) (0)
A novel color image encryption algorithm based on a fractional-order discrete chaotic neural network and DNA sequence operations (2020) (0)
A multidimensional scaling classification of robotic sensors (2013) (0)
Circuit synthesis through combination of evolutionary and swarm algorithms (2009) (0)
Editorial (2007) (0)
A Fourier Perspective of Freeway Traffic (2004) (0)
FRACTIONAL DYNAMICS IN MECHANICAL MANIPULATION ( DETC 2007-35418 ) (2009) (0)
FRACTIONAL DYNAMICS IN MECHANICAL MANIPULATION ( DETC 2007-35418 ) (2009) (0)
Introducing the fractional-order Darwinian PSO (2012) (0)
Signal analysis in robotic systems (1999) (0)
Analysis of Electricity Market Prices Using Multidimensional Scaling (2014) (0)
Synthesis Through Genetic Algorithms (2005) (0)
A Linear B-Spline Approximation for a Class of Nonlinear Time and Space Fractional Partial Differential Equations (2020) (0)
Symmetry in Complex Systems (2020) (0)
Self-Similarity in World Economy (2012) (0)
New Features to Look at Natural Phenomena (2013) (0)
Root-locus analysis (2016) (0)
Sensor Classification Methods Applied to Robotics (2012) (0)
Application of Genetic Algorithms in the Design of an Electrical Potential of Fractional Order (2011) (0)
State space analysis of continuous systems (2016) (0)
Two Cooperating Manipulators with Fractional Controllers 279 Two Cooperating Manipulators with Fractional Controllers (2012) (0)
A fractional calculus perspective in the evolutionary design of combinational circuits (2007) (0)
Optimization of an effective method for a model of HIV infection of CD4$^{+}$ T-cells (2020) (0)
Fractional order inductive phenomena based on the skin effect (2011) (0)
Fitness Function Evaluation Through Fractional Algorithms (2011) (0)
Bipedal Locomotion: A Fractional CPG for Generating Patterns (2009) (0)
Some pioneers of the applications of fractional calculus (2014) (0)
Application of Computational Intelligence to Engineering (2011) (0)
Special Issue on IEEE-ICCC 2006 (2007) (0)
Gait Selection for Quadruped Legged Robots (2004) (0)
Introduction to the Special Issue on Modeling and Control of Artificial Locomotion Systems (2006) (0)
Evolutionary Trajectory Optimization for Redundant Robots (2011) (0)
DESCRIBING FUNCTION OF A SIMPLE MECHANICAL SYSTEM WITH NON-LINEAR FRICTION (2008) (0)
Analysis of Two Arms Working in Cooperation (2004) (0)
Modelling and Control of Freeway Traffic (2004) (0)
Improvement of a fixed point transformations and svd-based adaptive controller (2008) (0)
ELECTRICAL SKIN PHENOMENA (2007) (0)
Editorial special issue: “Dynamics and Control of Fractional Order Systems” International Journal of Dynamics and Control (2016) (0)
Demonstrations and Applications of Fractional-Order Devices (2017) (0)
Analysis of continuous systems in the time domain (2016) (0)
Performance Analvsis of Multi-Legged Systems 4 (2001) (0)
New nonautonomous combined multi-wave solutions for (2+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varvec{2+1}$$ (2018) (0)
Dynamic Simulation of Ninrigid Link Manipulators (1997) (0)
Multi-criteria Manipulator Trajectory Optimization Based on Evolutionary Algorithms (2010) (0)
Short-Circuit Impedance of Power Transformers: the Fractional Order Calculus Approach (2005) (0)
Evasion of instabilities caused by neglected subsystems and saturations in the control of a cart of asynchronous electric drives (2009) (0)
Probability and statistics: selected problems (2014) (0)
Special issue: Complex systems and chaos with fractionality, discontinuity, and nonlinearity (2011) (0)
Analysis of Systems with Backlash and Impacts through the Describing Function (2004) (0)
Design and modelling of a 3D compliant leg for Bioloid (2012) (0)
Maximin spreading algorithm (2010) (0)
6th Workshop Fractional Differentiation and Its Applications 2013 : Grenoble, France, 4-6 February 2013 (2013) (0)
Correction: Dynamical Analysis and Visualization of Tornadoes Time Series (2015) (0)
Analysis of nonlinear systems with the describing function method (2016) (0)
Analysis of the nano-surface of a modified glassy carbon electrode by pseudo phase plane method (2011) (0)
Analysis of nonlinear systems with the phase plane method (2016) (0)
New Concepts Towards the Synthesis of Digital Circuits Through Genetic Algorithms (2004) (0)
On the Statistical/Harmonic modelling of mechanical manipulators (1998) (0)
Control of robots with nonlinear phenomena in the joints (1996) (0)
Design of Digital Fractional-Order Integrators and Differentiators by Least Squares (2005) (0)
Linear algebra: selected problems (2014) (0)
Improved Numerical Simulation for a Novel Adaptive Control Using Fractional Order Derivatives (2006) (0)
Fourier analysis of multi-legged periodic gaits (2001) (0)
Hybrid Control of Manipulators with Impact Phenomena (2000) (0)
Signal processing: special issue on fractional signal processing and applications (2015) (0)
Fractional Order Dynamics in the Trajectory Planning of Redundant and Hyper-Redundant Manipulators (2003) (0)
Tuning the windowed Fourier transform of robotic signals in the perspective of information theory (2010) (0)
A trajectory planning algorithm for redundant manipulators (1999) (0)
Approximate Methods for Local Fractional Differential Equations (2015) (0)
Simulation and Modelling of Intelligent Transportation Systems (2003) (0)
Fractional Order Dynamical Phenomena in a GA (2003) (0)
Closed-Form Discretization of Fractional-Order Differential and Integral Operators (2018) (0)
Controller synthesis by pole placement (2016) (0)
Customized direct dynamics of robot manipulators (1993) (0)
Fractional Dynamics of Genetic Algorithms Using Hexagonal Space Tessellation (2013) (0)
Fractional Analysis of the DNA Information (2013) (0)
Temporal Patterns in Earthquake Data-series (2015) (0)
Fractional Dynamics: A Statistical (2008) (0)
Simple Kinematic Design for Evading the Forced Oscillation of a Car-Wheel Suspension System (2006) (0)
The Fractional View of Complexity (2019) (0)
Analysis of financial indexes with computational techniques (2010) (0)
PID controller synthesis (2016) (0)
Entropy in Dynamic Systems (2019) (0)
Kinematic study of biped locomotion systems (1997) (0)
Block diagram algebra and system transfer functions (2016) (0)
Optimal energy gaits for quadrupeds under variable locomotion conditions (2007) (0)
Proceedings of the 6th Workshop on Fractional Differentiation and Its Applications (2013) (0)
Experimental apparatus for vibration analysis in robotics (2005) (0)
On the evaluation of computer systems for robot control (1991) (0)
Self-Similar Property of Random Signals: Solution of Inverse Problem (2013) (0)
Fractional Analysis of Traffic Dynamics (2011) (0)
Particle Swarm Design of Digital Circuits (2009) (0)
Performance Issues in Biped Walking Robots (1998) (0)
Application of fractional bio-inspired filter for salient color detection (2021) (0)
Fractional-Order PositioniForce Robot Control (2004) (0)
A Real-Time Optimization for 2 R Manipulators (2006) (0)
Single-Objective Spreading Algorithm (2013) (0)
Stability of multidimensional systems using bio-inspired meta-heuristics (2018) (0)
Automated design of microwave discrete tuning differential capacitance circuits in Si‐integrated technologies (2010) (0)
Design of momentum fractional LMS for Hammerstein nonlinear system identification with application to electrically stimulated muscle model (2019) (0)
Mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis (2013) (0)
Numerical approximation of the time fractional cable model arising in neuronal dynamics (2020) (0)
Discretization of Fractional Operators: Analysis by Means of Advanced Computational Techniques (2021) (0)
Consensus of Incommensurate-order Fractional Multiagent Systems with a Fixed-length Memory (2021) (0)
Editorial (2007) (0)
Approximation of data using non-integer harmonics series (2017) (0)
Relativistic time effects in financial dynamics (2013) (0)
Chapter 48 Fractional Control of Legged Robots (0)
Dynamical behaviour of multi-particle large-scale systems (2012) (0)
Dynamic analysis of earthquake phenomena by means of pseudo phase plane (2013) (0)
A Real-Time Optimization for 2R Manipulators (2004) (0)
Research issues in biological inspired flying robots (2008) (0)
Strength prediction of similar materials to ionic rare earth ores based on orthogonal test and back propagation neural network (2019) (0)
Adaptive Nonlinear Vibration Damping Inspired by the Concept of Fractional Derivatives (2004) (0)
A new fractional derivative involving the normalized sinc function without singular kernel (2017) (0)
Numerical Methods (2018) (0)
A computational view of electrophysiological properties under different atrial fibrosis conditions (2022) (0)
Design of fractional-order hyper-chaotic multi-scroll systems based on hysteresis series (2017) (0)
On the Cole–Hopf transformation and integration by parts formulae in computational methods within fractional differential equations and fractional optimal control theory (2021) (0)
Variable structure control of manipulators with compliant joints (1993) (0)
Complex dynamics of financial indices (2013) (0)

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