A Statistical Approach To The Analysis And Design Of Robot Manipulators. - J. A. Tenreiro Machado; J. L. Martins de Carvalho (IROS, 1988)

Gestão dos recursos estruturais no controlo de robots manipuladores - José António Tenreiro Machado (1988)

Engineering design of a multirate nonlinear controller for robot manipulators. - J. A. Tenreiro Machado; Jorge Leite Martins de Carvalho (J. Field Robotics, 1989)

Statistical analysis of muscle-actuated manipulators. - Alexandra M. S. F. Galhano; José António Tenreiro Machado; Jorge Leite Martins de Carvalho (ICRA, 1992)

Variable structure control of robots with nonlinear friction and backlash at the joints. - Abílio Azenha; J. A. Tenreiro Machado (ICRA, 1996)

A statistical and harmonic model for robot manipulators. - José António Tenreiro Machado; Alexandra M. S. F. Galhano (ICRA, 1997)

Kinematic aspects of robotic biped locomotion systems. - Filipe M. Silva; José António Tenreiro Machado (IROS, 1997)

Kinematic optimization of redundant and hyper-redundant robot trajectories. - Fernando B. M. Duarte; J. A. Tenreiro Machado (ICECS, 1998)

Towards efficient biped robots. - Filipe M. Silva; J. A. Tenreiro Machado (IROS, 1998)

Dynamic performance of hybrid robot controllers near singularities. - Abílio Azenha; J. A. Tenreiro Machado (SMC, 1998)

Fractional-order hybrid control of robot manipulators. - J. A. Tenreiro Machado; Abílio Azenha (SMC, 1998)

Energy Analysis During Biped Walking. - Filipe M. Silva; José António Tenreiro Machado (ICRA, 1999)

A GA perspective of the energy requirements for manipulators maneuvering in a workspace with obstacles. - E. J. Solteiro Pires; J. A. Tenreiro Machado (CEC, 2000)

Trajectory Optimization for Redundant Robots Using Genetic Algorithms. - Eduardo José Solteiro Pires; José António Tenreiro Machado (GECCO, 2000)

Chaos Dynamics in the Trajectory Control of Redundant Manipulators. - Fernando B. M. Duarte; José António Tenreiro Machado (ICRA, 2000)

Position/force control of biped walking robots. - Filipe M. Silva; José António Tenreiro Machado (SMC, 2000)

Research issues in intelligent transportation systems. - Lino Figueiredo; Isabel S. Jesus; J. A. Tenreiro Machado; José Rui Ferreira; J. L. Martins de Carvalho (ECC, 2001)

Fourier analysis of multi-legged periodic gaits. - Carlos M. B. Rodrigues; J. A. Tenreiro Machado (ECC, 2001)

A Fourier Perspective in Multi-Legged Systems. - José António Tenreiro Machado; Carlos M. B. Rodrigues (ICRA, 2001)

Goal-Oriented Biped Walking Based on Force Interaction Control. - Filipe M. Silva; José António Tenreiro Machado (ICRA, 2001)

Implementing Discrete-time Fractional-order Controllers. - José António Tenreiro Machado (J. Adv. Comput. Intell. Intell. Informatics, 2001)

Pseudoinverse Trajectory Control of Redundant Manipulators: A Fractional Calculus Perspective. - Fernando B. M. Duarte; José António Tenreiro Machado (ICRA, 2002)

Performance Analysis of Multi-Legged Systems. - Manuel F. Silva 001; José António Tenreiro Machado; António M. Lopes 001 (ICRA, 2002)

Kinematic Robustness of Manipulating Systems. - Alexandra M. S. F. Galhano; José António Tenreiro Machado (J. Adv. Comput. Intell. Intell. Informatics, 2002)

Fractional Order Dynamical Phenomena in a GA. - Eduardo José Solteiro Pires; José António Tenreiro Machado; Paulo B. de Moura Oliveira (GECCO, 2003)

Simulation and dynamical analysis of freeway traffic. - Lino Figueiredo; J. A. Tenreiro Machado; José Rui Ferreira (SMC, 2003)

Fractional signal processing and applications. - Manuel Duarte Ortigueira; José António Tenreiro Machado (Signal Process., 2003)

Fractional order dynamics in a GA planner. - Eduardo José Solteiro Pires; José António Tenreiro Machado; Paulo B. de Moura Oliveira (Signal Process., 2003)

Multi-objective Genetic Manipulator Trajectory Planner. - Eduardo José Solteiro Pires; Paulo B. de Moura Oliveira; José António Tenreiro Machado (EvoWorkshops, 2004)

Robot Trajectory Planning Using Multi-objective Genetic Algorithm Optimization. - Eduardo José Solteiro Pires; José António Tenreiro Machado; Paulo B. de Moura Oliveira (GECCO (1), 2004)

Synthesis of Logic Circuits Using Fractional-Order Dynamic Fitness Functions. - Cecília Reis; José António Tenreiro Machado; José Boaventura Cunha (International Conference on Computational Intelligence, 2004)

Towards force interaction control of biped walking robots. - Filipe M. Silva; José António Tenreiro Machado (IROS, 2004)

Adaptive Nonlinear Vibration Damping Inspired by the Concept of Fractional Derivatives. - József K. Tar; Imre J. Rudas; János F. Bitó; José António Tenreiro Machado (WISES, 2004)

Preface. - Urbano Nunes 001; José António Tenreiro Machado (Adv. Robotics, 2004)

Evolutionary Design of Combinational Logic Circuits. - Cecília Reis; José António Tenreiro Machado; José Boaventura Cunha (J. Adv. Comput. Intell. Intell. Informatics, 2004)

Dynamical analysis of freeway traffic. - Lino Figueiredo; J. A. Tenreiro Machado; José Rui Ferreira (IEEE Trans. Intell. Transp. Syst., 2004)

Energy Efficiency of Quadruped Gaits. - M. F. da Silva; J. A. Tenreiro Machado (CLAWAR, 2005)

Multi-objective MaxiMin Sorting Scheme. - Eduardo José Solteiro Pires; Paulo B. de Moura Oliveira; José António Tenreiro Machado (EMO, 2005)

Fractional dynamic fitness functions for GA-based circuit design. - Cecília Reis; José António Tenreiro Machado; José Boaventura Cunha (GECCO, 2005)

Fractional-Order Position/Force Robot Control. - Nuno M. Fonseca Ferreira; José António Tenreiro Machado; José Boaventura Cunha (J. Adv. Comput. Intell. Intell. Informatics, 2005)

Modelling and simulation of artificial locomotion systems. - Manuel F. Silva 001; José António Tenreiro Machado; António M. Lopes 001 (Robotica, 2005)

Time domain design of fractional differintegrators using least-squares. - Ramiro S. Barbosa; José António Tenreiro Machado; Manuel F. Silva 001 (Signal Process., 2006)

Fractional order electromagnetics. - José António Tenreiro Machado; Isabel S. Jesus; Alexandra M. S. F. Galhano; José Boaventura Cunha (Signal Process., 2006)

Fractional calculus applications in signals and systems. - Manuel Duarte Ortigueira; José António Tenreiro Machado (Signal Process., 2006)

Dynamical modelling of a genetic algorithm. - Eduardo José Solteiro Pires; José António Tenreiro Machado; Paulo B. de Moura Oliveira (Signal Process., 2006)

Complex-order dynamics in hexapod locomotion. - Manuel F. Silva 001; José António Tenreiro Machado; Ramiro S. Barbosa (Signal Process., 2006)

Towards a Sensor Classification Scheme for Robotic Manipulators. - Miguel F. M. Lima; José António Tenreiro Machado; Manuel Marques Crisóstomo (CIRA, 2007)

A General Discretization Scheme for the Design of IIR Fractional Filters. - Ramiro S. Barbosa; José António Tenreiro Machado; Isabel S. Jesus (ISDA, 2007)

Towards the PIDß Control of Heat Diffusion Systems. - Isabel S. Jesus; J. A. Tenreiro Machado; Ramiro S. Barbosa; E. S. Solteiro Pires (ISDA, 2007)

Fractional Order Dynamics in a Particle Swarm Optimization Algorithm. - Eduardo José Solteiro Pires; P. B. de Moura Oliveira; José António Tenreiro Machado; Isabel S. Jesus (ISDA, 2007)

Fractional dynamics in particle swarm optimization. - Eduardo José Solteiro Pires; José António Tenreiro Machado; Paulo B. de Moura Oliveira; Cecília Reis (SMC, 2007)

Evolutionary computation in the design of logic circuits. - Cecília Reis; José António Tenreiro Machado; José Boaventura Cunha; Eduardo José Solteiro Pires (SMC, 2007)

Manipulator trajectory planning using a MOEA. - Eduardo José Solteiro Pires; Paulo B. de Moura Oliveira; José António Tenreiro Machado (Appl. Soft Comput., 2007)

Fractional Control of Coordinated Manipulators. - Nuno M. Fonseca Ferreira; José António Tenreiro Machado (J. Adv. Comput. Intell. Intell. Informatics, 2007)

Application of Fractional Calculus in the Control of Heat Systems. - Isabel S. Jesus; José António Tenreiro Machado (J. Adv. Comput. Intell. Intell. Informatics, 2007)

Experimental Signal Analysis of Robot Impacts in a Fractional Calculus Perspective. - Miguel F. M. Lima; José António Tenreiro Machado; Manuel M. Crisóstomo (J. Adv. Comput. Intell. Intell. Informatics, 2007)

Editorial. - Béla Pátkai; José António Tenreiro Machado; Imre J. Rudas (J. Adv. Comput. Intell. Intell. Informatics, 2007)

Computational Intelligence in Circuit Synthesis. - Cecília Reis; José António Tenreiro Machado (J. Adv. Comput. Intell. Intell. Informatics, 2007)

Single-objective front optimization: application to rf circuit design. - Eduardo José Solteiro Pires; Luís Mendes; Paulo B. de Moura Oliveira; José António Tenreiro Machado; Nuno M. Fonseca Ferreira; João Caldinhas Vaz; Maria João Rosário (GECCO, 2008)

Kinematic and dynamic performance analysis of artificial legged systems. - Manuel F. Silva 001; José António Tenreiro Machado (Robotica, 2008)

Decoupled fixed point transformation based adaptive control of the generalized 2 DOF Φ6-type Van der Pol oscillator. - József K. Tar; Imre J. Rudas; János F. Bitó; José António Tenreiro Machado; Krzysztof R. Kozlowski (ECC, 2009)

Design Optimization of Radio Frequency Discrete Tuning Varactors. - Luís Mendes; Eduardo José Solteiro Pires; Paulo B. de Moura Oliveira; José António Tenreiro Machado; Nuno M. Fonseca Ferreira; João Caldinhas Vaz; Maria João Rosário (EvoWorkshops, 2009)

Design of Radio-Frequency Integrated CMOS Discrete Tuning Varactors Using the Particle Swarm Optimization Algorithm. - Eduardo José Solteiro Pires; Luís Mendes; Paulo B. de Moura Oliveira; José António Tenreiro Machado; João Caldinhas Vaz; Maria João Rosário (IWANN (2), 2009)

Filtering method in backlash phenomena analysis. - Miguel F. M. Lima; José António Tenreiro Machado; Manuel M. Crisóstomo (Math. Comput. Model., 2009)

Maximin spreading algorithm. - E. J. Solteiro Pires; Luís Mendes; António M. Lopes 001; Paulo B. de Moura Oliveira; J. A. Tenreiro Machado; João Caldinhas Vaz; Maria João Rosário (IEEE Congress on Evolutionary Computation, 2010)

Interactive Evolutionary Computation in music. - Viriato M. Marques; Cecília Reis; J. A. Tenreiro Machado (SMC, 2010)

Multi-criteria Manipulator Trajectory Optimization Based on Evolutionary Algorithms. - E. J. Solteiro Pires; Paulo B. de Moura Oliveira; J. A. Tenreiro Machado (SOCO, 2010)

Effect of fractional orders in the velocity control of a servo system. - Ramiro S. Barbosa; José António Tenreiro Machado; Isabel S. Jesus (Comput. Math. Appl., 2010)

Preface: Special issue of computers and mathematics with applications on fractional differentiation and its applications. - Wen Chen 003; Dumitru Baleanu; J. A. Tenreiro Machado (Comput. Math. Appl., 2010)

Control of a heat diffusion system through a fractional order nonlinear algorithm. - Isabel S. Jesus; José António Tenreiro Machado; Ramiro S. Barbosa (Comput. Math. Appl., 2010)

A Theoretical Study on Modeling the Respiratory Tract With Ladder Networks by Means of Intrinsic Fractal Geometry. - Clara M. Ionescu; Ionut Muntean; J. A. Tenreiro Machado; Robin De Keyser; Mihail Abrudean (IEEE Trans. Biomed. Eng., 2010)

Histogram-based DNA analysis for the visualization of chromosome, genome and species information. - António C. M. Costa; José António Tenreiro Machado; Maria Dulce Quelhas (Bioinform., 2011)

Fractional-order impulse response of the respiratory system. - Clara M. Ionescu; José António Tenreiro Machado; Robin De Keyser (Comput. Math. Appl., 2011)

Entropy analysis of the DNA code dynamics in human chromosomes. - José António Tenreiro Machado; António C. M. Costa; Maria Dulce Quelhas (Comput. Math. Appl., 2011)

Is multidimensional scaling suitable for mapping the input respiratory impedance in subjects and patients? - Clara M. Ionescu; José António Tenreiro Machado; Robin De Keyser (Comput. Methods Programs Biomed., 2011)

Complex Order Biped Rhythms. - Carla M. A. Pinto; J. A. Tenreiro Machado (Int. J. Bifurc. Chaos, 2011)

Experimental backlash study in mechanical manipulators. - Miguel F. M. Lima; José António Tenreiro Machado; Manuel M. Crisóstomo (Robotica, 2011)

A fractional approach for the motion planning of redundant and hyper-redundant manipulators. - Maria da Graça Marcos; J. A. Tenreiro Machado; T.-P. Azevedo-Perdicoúlis (Signal Process., 2011)

Fractional signals and systems. - Manuel Duarte Ortigueira; J. A. Tenreiro Machado; Juan J. Trujillo; Blas M. Vinagre (Signal Process., 2011)

Modeling of the Lung Impedance Using a Fractional-Order Ladder Network With Constant Phase Elements. - Clara M. Ionescu; José António Tenreiro Machado; Robin De Keyser (IEEE Trans. Biomed. Circuits Syst., 2011)

Sensor Classification Methods Applied to Robotics. - Miguel F. M. Lima; José António Tenreiro Machado (ICIRA (3), 2012)

A multi-objective approach for the motion planning of redundant manipulators. - Maria da Graça Marcos; J. A. Tenreiro Machado; T.-P. Azevedo-Perdicoúlis (Appl. Soft Comput., 2012)

Multidimensional scaling analysis of fractional systems. - J. Tenreiro Machado (Comput. Math. Appl., 2012)

The effect of fractional order in variable structure control. - J. A. Tenreiro Machado (Comput. Math. Appl., 2012)

On the DNA of Eleven mammals. - José António Tenreiro Machado; António C. M. Costa; Maria Dulce Quelhas (Int. J. Bifurc. Chaos, 2012)

Fractional Dynamics in Financial Indices. - J. Tenreiro Machado; Fernando B. Duarte; Gonçalo Monteiro Duarte (Int. J. Bifurc. Chaos, 2012)

A fuzzified systematic adjustment of the robotic Darwinian PSO. - Micael S. Couceiro; J. A. Tenreiro Machado; Rui P. Rocha; Nuno M. F. Ferreira (Robotics Auton. Syst., 2012)

Exploiting sensor redundancy for the calculation of fractional derivatives in the presence of noise. - J. A. Tenreiro Machado (Signal Process., 2012)

Introducing the fractional-order Darwinian PSO. - Micael S. Couceiro; Rui P. Rocha; Nuno M. Fonseca Ferreira; J. A. Tenreiro Machado (Signal Image Video Process., 2012)

Special issue: Fractional signals and systems. - Clara M. Ionescu; Jocelyn Sabatier; J. A. Tenreiro Machado (Signal Image Video Process., 2012)

Analysis of financial indices by means of the windowed Fourier transform. - J. Tenreiro Machado; Fernando B. Duarte; Gonçalo Monteiro Duarte (Signal Image Video Process., 2012)

Fractional differentiation and its applications I. - Dumitru Baleanu; J. A. Tenreiro Machado; Wen Chen 003 (Comput. Math. Appl., 2013)

Fractional dynamics and MDS visualization of earthquake phenomena. - António M. Lopes 001; J. A. Tenreiro Machado; Carla M. A. Pinto; Alexandra M. S. F. Galhano (Comput. Math. Appl., 2013)

Fractional model for malaria transmission under control strategies. - Carla M. A. Pinto; J. A. Tenreiro Machado (Comput. Math. Appl., 2013)

Fractional generalization of memristor and higher order elements. - J. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2013)

Analysis and Visualization of Seismic Data Using Mutual Information. - José António Tenreiro Machado; António M. Lopes 001 (Entropy, 2013)

Entropy Diversity in Multi-Objective Particle Swarm Optimization. - Eduardo José Solteiro Pires; José António Tenreiro Machado; Paulo B. de Moura Oliveira (Entropy, 2013)

Symbolic Fractional Dynamics. - J. A. Tenreiro Machado; Alexandra M. S. F. Galhano (IEEE J. Emerg. Sel. Topics Circuits Syst., 2013)

Optimal Controllers with Complex Order Derivatives. - J. A. Tenreiro Machado (J. Optim. Theory Appl., 2013)

Analysis of the Respiratory Dynamics During Normal Breathing by Means of Pseudophase Plots and Pressure-Volume Loops. - Clara M. Ionescu; J. A. Tenreiro Machado; Robin De Keyser (IEEE Trans. Syst. Man Cybern. Syst., 2013)

Diversity study of multi-objective genetic algorithm based on Shannon entropy. - E. J. Solteiro Pires; J. A. Tenreiro Machado; Paulo B. de Moura Oliveira (NaBIC, 2014)

Analysis of temperature time-series: Embedding dynamics into the MDS method. - António M. Lopes 001; J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2014)

Numerical analysis of the initial conditions in fractional systems. - J. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2014)

Analysis of diffusion process in fractured reservoirs using fractional derivative approach. - Kambiz Razminia; Abolhassan Razminia; J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2014)

On the numerical computation of the Mittag-Leffler function. - Duarte Valério; José António Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2014)

Dynamical Stability and Predictability of Football Players: The Study of One Match. - Micael S. Couceiro; Filipe Manuel Clemente; Fernando Manuel Lourenço Martins; José António Tenreiro Machado (Entropy, 2014)

Fractional Order Generalized Information. - José António Tenreiro Machado (Entropy, 2014)

On development of fractional calculus during the last fifty years. - J. A. Tenreiro Machado; Alexandra M. S. F. Galhano; Juan J. Trujillo (Scientometrics, 2014)

Meta-heuristics in multidimensional systems stability study. - E. J. Solteiro Pires; P. B. de Moura Oliveira; J. A. Tenreiro Machado (nDS, 2015)

Generalized convolution. - J. A. Tenreiro Machado (Appl. Math. Comput., 2015)

An extension of estimation of domain of attraction for fractional order linear system subject to saturation control. - Esmat Sadat Alaviyan Shahri; Alireza Alfi; J. A. Tenreiro Machado (Appl. Math. Lett., 2015)

Nonlinear dynamics of the patient's response to drug effect during general anesthesia. - Clara M. Ionescu; José António Tenreiro Machado; Robin De Keyser; Johan Decruyenaere; Michel M. R. F. Struys (Commun. Nonlinear Sci. Numer. Simul., 2015)

Fractional order junctions. - J. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2015)

Matrix fractional systems. - J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2015)

Pseudo Phase Plane and Fractional Calculus modeling of western global economic downturn. - J. A. Tenreiro Machado; Maria Eugénia Mata (Commun. Nonlinear Sci. Numer. Simul., 2015)

Multidimensional Scaling Visualization Using Parametric Similarity Indices. - José António Tenreiro Machado; António M. Lopes 001; Alexandra M. S. F. Galhano (Entropy, 2015)

Fractional State Space Analysis of Economic Systems. - J. A. Tenreiro Machado; Maria Eugénia Mata; António M. Lopes 001 (Entropy, 2015)

Power Law Behavior and Self-Similarity in Modern Industrial Accidents. - António M. Lopes 001; José António Tenreiro Machado (Int. J. Bifurc. Chaos, 2015)

Multidimensional Scaling Visualization Using Parametric Entropy. - António M. Lopes 001; J. A. Tenreiro Machado; Alexandra M. S. F. Galhano (Int. J. Bifurc. Chaos, 2015)

Numerical calculation of the left and right fractional derivatives. - J. Tenreiro Machado (J. Comput. Phys., 2015)

What is a fractional derivative? - Manuel Duarte Ortigueira; J. A. Tenreiro Machado (J. Comput. Phys., 2015)

Fractional order describing functions. - J. Tenreiro Machado (Signal Process., 2015)

A review on the characterization of signals and systems by power law distributions. - J. A. Tenreiro Machado; Carla M. A. Pinto; António Mendes Lopes (Signal Process., 2015)

Fractional signal processing and applications. - Manuel Duarte Ortigueira; Clara M. Ionescu; J. Tenreiro Machado; Juan J. Trujillo (Signal Process., 2015)

Integer/fractional decomposition of the impulse response of fractional linear systems. - Manuel Duarte Ortigueira; J. Tenreiro Machado; Margarita Rivero; Juan J. Trujillo (Signal Process., 2015)

Application of continuous wavelet transform to the analysis of the modulus of the fractional Fourier transform bands for resolving two component mixture. - Erdal Dinç; Fernando B. Duarte; J. A. Tenreiro Machado; Dumitru Baleanu (Signal Image Video Process., 2015)

Analysis of UV spectral bands using multidimensional scaling. - J. A. Tenreiro Machado; Erdal Dinç; Dumitru Baleanu (Signal Image Video Process., 2015)

Multi-objective Dynamic Analysis Using Fractional Entropy. - E. J. Solteiro Pires; J. A. Tenreiro Machado; P. B. de Moura Oliveira (ISDA, 2016)

A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach. - Xiaojun Yang 001; J. A. Tenreiro Machado; H. M. Srivastava 001 (Appl. Math. Comput., 2016)

Fractional PID controller in an active image stabilization system for mitigating vibration effects in agricultural tractors. - Sergio Adriani David; Rafael Vieira de Sousa; Carlos Alberto Valentim Jr.; Rubens Andre Tabile; José António Tenreiro Machado (Comput. Electron. Agric., 2016)

Multidimensional scaling analysis of virus diseases. - António M. Lopes 001; José P. Andrade; J. A. Tenreiro Machado (Comput. Methods Programs Biomed., 2016)

Fractional dynamics in the Rayleigh's piston. - J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2016)

Entropy analysis of systems exhibiting negative probabilities. - J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2016)

Empirical Laws and Foreseeing the Future of Technological Progress. - António M. Lopes 001; José António Tenreiro Machado; Alexandra M. S. F. Galhano (Entropy, 2016)

Entropy Analysis of a Railway Network's Complexity. - Duarte Valério; António M. Lopes 001; José António Tenreiro Machado (Entropy, 2016)

Condition-based diagnosis of mechatronic systems using a fractional calculus approach. - Ricardo Enrique Gutiérrez-Carvajal; Leonimer Flavio de Melo; João Maurício Rosário; J. A. Tenreiro Machado (Int. J. Syst. Sci., 2016)

Partial chaos suppression in a fractional order macroeconomic model. - Sergio Adriani David; José António Tenreiro Machado; Derick D. Quintino; J. M. Balthazar (Math. Comput. Simul., 2016)

A stable three-level explicit spline finite difference scheme for a class of nonlinear time variable order fractional partial differential equations. - Behrouz Parsa Moghaddam; José António Tenreiro Machado (Comput. Math. Appl., 2017)

Advances in fractional differential equations (IV): Time-fractional PDEs. - Yong Zhou 005; Michal Feckan; Fawang Liu; J. A. Tenreiro Machado (Comput. Math. Appl., 2017)

The role of fractional calculus in modeling biological phenomena: A review. - Clara M. Ionescu; António M. Lopes 001; Dana Copot; J. A. Tenreiro Machado; Jason H. T. Bates (Commun. Nonlinear Sci. Numer. Simul., 2017)

On the mathematical modeling of soccer dynamics. - J. A. Tenreiro Machado; António M. Lopes 001 (Commun. Nonlinear Sci. Numer. Simul., 2017)

Generalized two-port elements. - J. Tenreiro Machado; Alexandra M. S. F. Galhano (Commun. Nonlinear Sci. Numer. Simul., 2017)

On the computation of the multidimensional Mittag-Leffler function. - Manuel Duarte Ortigueira; António M. Lopes 001; J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2017)

Dynamic stability analysis of fractional order leaky integrator echo state neural networks. - Seyed Mehdi Abedi Pahnehkolaei; Alireza Alfi; J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2017)

On a fractal LC-electric circuit modeled by local fractional calculus. - Xiaojun Yang 001; J. A. Tenreiro Machado; Carlo Cattani; Feng Gao (Commun. Nonlinear Sci. Numer. Simul., 2017)

On the formulation and numerical simulation of distributed-order fractional optimal control problems. - Mahmoud A. Zaky; J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2017)

Tidal Analysis Using Time-Frequency Signal Processing and Information Clustering. - António Mendes Lopes; José António Tenreiro Machado (Entropy, 2017)

Computational Complexity. - J. A. Tenreiro Machado; António M. Lopes 001 (Entropy, 2017)

Complex and Fractional Dynamics. - J. A. Tenreiro Machado; António M. Lopes 001 (Entropy, 2017)

Fractional Jensen-Shannon Analysis of the Scientific Output of Researchers in Fractional Calculus. - José António Tenreiro Machado; António Mendes Lopes (Entropy, 2017)

Entropy Analysis of Monetary Unions. - Maria Eugénia Mata; José António Tenreiro Machado (Entropy, 2017)

Dynamics of Commodities Prices: Integer and Fractional Models. - Sergio Adriani David; J. A. Tenreiro Machado; Lucas R. Trevisan; Cláudio M. C. Inácio; António M. Lopes 001 (Fundam. Informaticae, 2017)

SM-Algorithms for Approximating the Variable-Order Fractional Derivative of High Order. - Behrouz Parsa Moghaddam; José António Tenreiro Machado (Fundam. Informaticae, 2017)

A New Family of the Local Fractional PDEs. - Xiaojun Yang 001; J. A. Tenreiro Machado; Juan J. Nieto 001 (Fundam. Informaticae, 2017)

Dynamics of the N-link pendulum: a fractional perspective. - António M. Lopes 001; J. A. Tenreiro Machado (Int. J. Control, 2017)

Uniform stability of Fractional Order Leaky Integrator Echo State Neural Network with multiple time delays. - Seyed Mehdi Abedi Pahnehkolaei; Alireza Alfi; J. A. Tenreiro Machado (Inf. Sci., 2017)

Numerical Solution of the Two-Sided Space-Time Fractional Telegraph Equation Via Chebyshev Tau Approximation. - Ali H. Bhrawy; Mahmoud A. Zaky; José António Tenreiro Machado (J. Optim. Theory Appl., 2017)

Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications. - Behrouz Parsa Moghaddam; José António Tenreiro Machado (J. Sci. Comput., 2017)

Stability and synchronization of fractional-order memristive neural networks with multiple delays. - Liping Chen; Jinde Cao; Ranchao Wu; J. A. Tenreiro Machado; António M. Lopes 001; Hejun Yang (Neural Networks, 2017)

PSO Evolution Based on a Entropy Metric. - E. J. Solteiro Pires; J. A. Tenreiro Machado; P. B. de Moura Oliveira (HIS, 2018)

A new operational approach for solving fractional variational problems depending on indefinite integrals. - Samer S. Ezz-Eldien; Eid H. Doha; Ali H. Bhrawy; Ahmed A. El-Kalaawy; J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2018)

A fractional calculus perspective of distributed propeller design. - J. Tenreiro Machado; Alexandra M. S. F. Galhano (Commun. Nonlinear Sci. Numer. Simul., 2018)

Corrigendum to "On the computation of the multidimensional Mittag-Leffler function" [Commun. Nonlinear Sci. Numer. Simulat. 53 (2017) 278-287]. - Manuel Duarte Ortigueira; António M. Lopes 001; J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2018)

A critical analysis of the Caputo-Fabrizio operator. - Manuel Duarte Ortigueira; J. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2018)

A new glance on the Leibniz rule for fractional derivatives. - Khosro Sayevand; J. Tenreiro Machado; Dumitru Baleanu (Commun. Nonlinear Sci. Numer. Simul., 2018)

Complexity Analysis of Global Temperature Time Series. - António M. Lopes 001; J. A. Tenreiro Machado (Entropy, 2018)

Complex Systems and Fractional Dynamics. - António M. Lopes 001; J. A. Tenreiro Machado (Entropy, 2018)

Power Law Behaviour in Complex Systems. - António M. Lopes 001; J. A. Tenreiro Machado (Entropy, 2018)

Stability of multidimensional systems using bio-inspired meta-heuristics. - E. J. Solteiro Pires; P. B. de Moura Oliveira; J. A. Tenreiro Machado (Int. J. Control, 2018)

Optimal variable-order fractional PID controllers for dynamical systems. - Arman Dabiri; Behrouz Parsa Moghaddam; J. A. Tenreiro Machado (J. Comput. Appl. Math., 2018)

Fractional dynamic behavior in ethanol prices series. - Sergio Adriani David; Derick D. Quintino; Cláudio M. C. Inácio; J. A. Tenreiro Machado (J. Comput. Appl. Math., 2018)

Robust asymptotic stability of interval fractional-order nonlinear systems with time-delay. - Penghua Li; Liping Chen; Ranchao Wu; J. A. Tenreiro Machado; António M. Lopes 001; Liguo Yuan (J. Frankl. Inst., 2018)

Local convergence of iterative methods for solving equations and system of equations using weight function techniques. - Ioannis K. Argyros; Ramandeep Behl; J. A. Tenreiro Machado; Ali Saleh Alshomrani (Appl. Math. Comput., 2019)

Delay independent robust stability analysis of delayed fractional quaternion-valued leaky integrator echo state neural networks with QUAD condition. - Seyed Mehdi Abedi Pahnehkolaei; Alireza Alfi; J. A. Tenreiro Machado (Appl. Math. Comput., 2019)

Fractional fixed-structure H∞ controller design using Augmented Lagrangian Particle Swarm Optimization with Fractional Order Velocity. - Esmat Sadat Alaviyan Shahri; Alireza Alfi; J. A. Tenreiro Machado (Appl. Soft Comput., 2019)

A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains. - Hais Azin; F. Mohammadi; J. A. Tenreiro Machado (Comput. Appl. Math., 2019)

Numerical solution of mixed-type fractional functional differential equations using modified Lucas polynomials. - Behrouz Parsa Moghaddam; Arman Dabiri; António M. Lopes 001; J. A. Tenreiro Machado (Comput. Appl. Math., 2019)

Optimal control of nonlinear fed-batch process using direct transcription method. - Abolfazl Simorgh; Abolhassan Razminia; J. A. Tenreiro Machado (Comput. Chem. Eng., 2019)

A new non-standard finite difference method for analyzing the fractional Navier-Stokes equations. - Khosro Sayevand; J. Tenreiro Machado; V. Moradi (Comput. Math. Appl., 2019)

Special Issue: Advances in Fractional Differential Equations (V): Time-Space Fractional PDEs. - Yong Zhou 005; Michal Feckan; Fawang Liu; J. A. Tenreiro Machado (Comput. Math. Appl., 2019)

Generalized shifted Chebyshev polynomials for fractional optimal control problems. - Hossein Hassani 005; José António Tenreiro Machado; Eskandar Naraghirad (Commun. Nonlinear Sci. Numer. Simul., 2019)

The Lorentz transformations and one observation in the perspective of fractional calculus. - Daniel Cao Labora; António M. Lopes 001; J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2019)

Fractional-order modeling of a diode. - J. A. Tenreiro Machado; António M. Lopes 001 (Commun. Nonlinear Sci. Numer. Simul., 2019)

A computational perspective of the periodic table of elements. - J. Tenreiro Machado; António M. Lopes 001 (Commun. Nonlinear Sci. Numer. Simul., 2019)

Fractional derivatives and negative probabilities. - J. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2019)

Multidimensional scaling analysis of the solar system objects. - J. Tenreiro Machado; S. Hamid Mehdipour (Commun. Nonlinear Sci. Numer. Simul., 2019)

On the fractional Cornu spirals. - Constantin Milici; J. Tenreiro Machado; Gheorghe Draganescu (Commun. Nonlinear Sci. Numer. Simul., 2019)

Variable order fractional systems. - Manuel Duarte Ortigueira; Duarte Valério; J. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2019)

Entropy in Dynamic Systems. - Jan Awrejcewicz; José António Tenreiro Machado (Entropy, 2019)

Model Order Reduction: A Comparison between Integer and Non-Integer Order Systems Approaches. - Riccardo Caponetto; José António Tenreiro Machado; Emanuele Murgano; Maria Gabriella Xibilia (Entropy, 2019)

An Entropy Formulation Based on the Generalized Liouville Fractional Derivative. - Rui A. C. Ferreira; J. Tenreiro Machado (Entropy, 2019)

Entropy Analysis of Soccer Dynamics. - António M. Lopes 001; J. A. Tenreiro Machado (Entropy, 2019)

Complexity Analysis of Escher's Art. - António M. Lopes 001; J. A. Tenreiro Machado (Entropy, 2019)

On the Complexity Analysis and Visualization of Musical Information. - António M. Lopes 001; J. A. Tenreiro Machado (Entropy, 2019)

The Fractional View of Complexity. - António M. Lopes 001; J. A. Tenreiro Machado (Entropy, 2019)

Dynamic Shannon Performance in a Multiobjective Particle Swarm Optimization. - E. J. Solteiro Pires; J. A. Tenreiro Machado; P. B. de Moura Oliveira (Entropy, 2019)

Stability analysis of fractional Quaternion-Valued Leaky Integrator Echo State Neural Networks with multiple time-varying delays. - Seyed Mehdi Abedi Pahnehkolaei; Alireza Alfi; J. A. Tenreiro Machado (Neurocomputing, 2019)

A review of definitions of fractional derivatives and other operators. - G. Sales Teodoro; J. A. Tenreiro Machado; E. Capelas De Oliveira (J. Comput. Phys., 2019)

Delay-dependent criterion for asymptotic stability of a class of fractional-order memristive neural networks with time-varying delays. - Liping Chen; Tingwen Huang; J. A. Tenreiro Machado; António M. Lopes 001; Yi Chai; Ranchao Wu (Neural Networks, 2019)

Delay-dependent stability analysis of the QUAD vector field fractional order quaternion-valued memristive uncertain neutral type leaky integrator echo state neural networks. - Seyed Mehdi Abedi Pahnehkolaei; Alireza Alfi; J. A. Tenreiro Machado (Neural Networks, 2019)

Strength prediction of similar materials to ionic rare earth ores based on orthogonal test and back propagation neural network. - Wen Zhong; Yunchuan Deng; J. A. Tenreiro Machado; Chao Zhang; Kui Zhao; Xiaojun Wang (Soft Comput., 2019)

Efficient Three-Step Class of Eighth-Order Multiple Root Solvers and Their Dynamics. - Rania A. Alharbey; Munish Kansal; Ramandeep Behl; J. A. Tenreiro Machado (Symmetry, 2019)

Local Convergence of a Family of Weighted-Newton Methods. - Ramandeep Behl; Ioannis K. Argyros; J. A. Tenreiro Machado; Ali Saleh Alshomrani (Symmetry, 2019)

Derivative Free Fourth Order Solvers of Equations with Applications in Applied Disciplines. - Ramandeep Behl; Ioannis K. Argyros; Fouad Othman Mallawi; J. A. Tenreiro Machado (Symmetry, 2019)

Application of fractional bio-inspired filter for salient color detection. - Juan Anaya-Jaimes; Angie García-Castro; José António Tenreiro Machado; Ricardo Enrique Gutiérrez-Carvajal (ICMV, 2020)

Output-feedback-guaranteed cost control of fractional-order uncertain linear delayed systems. - Liping Chen; Tingting Li; Ranchao Wu; António M. Lopes 001; J. A. Tenreiro Machado; Kehan Wu (Comput. Appl. Math., 2020)

Solving nonlinear systems of fractional-order partial differential equations using an optimization technique based on generalized polynomials. - Hossein Hassani 005; J. A. Tenreiro Machado; Eskandar Naraghirad; B. Sadeghi (Comput. Appl. Math., 2020)

Fuzzy logic embedding of fractional order sliding mode and state feedback controllers for synchronization of uncertain fractional chaotic systems. - Seyed Mehdi Abedi Pahnehkolaei; Alireza Alfi; J. A. Tenreiro Machado (Comput. Appl. Math., 2020)

The $$ psi $$-Hilfer fractional calculus of variable order and its applications. - José Vanterler da Costa Sousa; J. A. Tenreiro Machado; E. Capelas De Oliveira (Comput. Appl. Math., 2020)

Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations. - Mahmoud A. Zaky; J. Tenreiro Machado (Comput. Math. Appl., 2020)

Numerical solution of variable-order fractional integro-partial differential equations via Sinc collocation method based on single and double exponential transformations. - Afshin Babaei; Behrouz Parsa Moghaddam; Seddigheh Banihashemi; José António Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2020)

A combined measure to differentiate EEG signals using fractal dimension and MFDFA-Hurst. - Sergio Adriani David; José António Tenreiro Machado; Cláudio M. C. Inácio; Carlos Alberto Valentim Jr. (Commun. Nonlinear Sci. Numer. Simul., 2020)

Generalized shifted Chebyshev polynomials: Solving a general class of nonlinear variable order fractional PDE. - Hossein Hassani 005; J. A. Tenreiro Machado; Zakieh Avazzadeh; Eskandar Naraghirad (Commun. Nonlinear Sci. Numer. Simul., 2020)

Multidimensional scaling and visualization of patterns in prime numbers. - J. Tenreiro Machado; António M. Lopes 001 (Commun. Nonlinear Sci. Numer. Simul., 2020)

On the properties of some operators under the perspective of fractional system theory. - Manuel Duarte Ortigueira; J. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2020)

Commensurate and Non-Commensurate Fractional-Order Discrete Models of an Electric Individual-Wheel Drive on an Autonomous Platform. - Marcin Bakala; Piotr Duch; J. A. Tenreiro Machado; Piotr Ostalczyk; Dominik Sankowski (Entropy, 2020)

A Review of Fractional Order Entropies. - António M. Lopes 001; José António Tenreiro Machado (Entropy, 2020)

Fractal and Entropy Analysis of the Dow Jones Index Using Multidimensional Scaling. - José António Tenreiro Machado (Entropy, 2020)

Numerical approach for solving variable-order space-time fractional telegraph equation using transcendental Bernstein series. - Hossein Hassani 005; Zakieh Avazzadeh; J. A. Tenreiro Machado (Eng. Comput., 2020)

Generalized Bernoulli Polynomials: Solving Nonlinear 2D Fractional Optimal Control Problems. - Hossein Hassani 005; J. A. Tenreiro Machado; Zakieh Avazzadeh; Eskandar Naraghirad; Mohammad Shafie Dahaghin (J. Sci. Comput., 2020)

A novel color image encryption algorithm based on a fractional-order discrete chaotic neural network and DNA sequence operations. - Liping Chen; Hao Yin; Liguo Yuan; António M. Lopes 001; J. A. Tenreiro Machado; Ranchao Wu (Frontiers Inf. Technol. Electron. Eng., 2020)

Property of Self-Similarity Between Baseband and Modulated Signals. - Shuai Liu 002; Weiling Bai; Gautam Srivastava 001; J. A. Tenreiro Machado (Mob. Networks Appl., 2020)

A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay. - P. Mokhtary; Behrouz Parsa Moghaddam; António M. Lopes 001; J. A. Tenreiro Machado (Numer. Algorithms, 2020)

Utilizing Macro Fiber Composite to Control Rotating Blade Vibrations. - Yasser Salah Hamed; Ali Kandil; José António Tenreiro Machado (Symmetry, 2020)

Fractional Dynamics in Soccer Leagues. - António M. Lopes 001; José António Tenreiro Machado (Symmetry, 2020)

Symmetry in Complex Systems. - António M. Lopes 001; José António Tenreiro Machado (Symmetry, 2020)

Consensus of Incommensurate-order Fractional Multiagent Systems with a Fixed-length Memory. - Arman Dabiri; Laya Karimi Chahrogh; J. A. Tenreiro Machado (ACC, 2021)

Closed-form Solution for The Finite-horizon Linear-quadratic Control Problem of Linear Fractional-order Systems. - Arman Dabiri; Laya Karimi Chahrogh; J. A. Tenreiro Machado (ACC, 2021)

Particle swarm optimization algorithm using complex-order derivative concept: A comprehensive study. - Seyed Mehdi Abedi Pahnehkolaei; Alireza Alfi; J. A. Tenreiro Machado (Appl. Soft Comput., 2021)

On multistep tumor growth models of fractional variable-order. - Carlos Alberto Valentim Jr.; José A. Rabi; Sergio Adriani David; José António Tenreiro Machado (Biosyst., 2021)

LMI-based stability analysis of fractional order systems of neutral type with time varying delays under actuator saturation. - Zahra Sadat Aghayan; Alireza Alfi; J. A. Tenreiro Machado (Comput. Appl. Math., 2021)

Multidimensional scaling analysis of generalized mean discrete-time fractional order controllers. - António M. Lopes 001; J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2021)

Multidimensional scaling and visualization of patterns in distribution of nontrivial zeros of the zeta-function. - J. Tenreiro Machado; Yuri Luchko (Commun. Nonlinear Sci. Numer. Simul., 2021)

Complex-order particle swarm optimization. - J. A. Tenreiro Machado; Seyed Mehdi Abedi Pahnehkolaei; Alireza Alfi (Commun. Nonlinear Sci. Numer. Simul., 2021)

An integro quadratic spline-based scheme for solving nonlinear fractional stochastic differential equations with constant time delay. - Behrouz Parsa Moghaddam; Zeinab Salamat Mostaghim; Athanasios A. Pantelous; J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2021)

Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport. - Omid Nikan; Zakieh Avazzadeh; J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2021)

Spontaneous activation under atrial fibrosis: A model using complex order derivatives. - Juan P. Ugarte; Catalina Tobón; Javier Saiz; António Mendes Lopes; J. A. Tenreiro Machado (Commun. Nonlinear Sci. Numer. Simul., 2021)

Efficient fractional-order modified Harris hawks optimizer for proton exchange membrane fuel cell modeling. - Dalia Yousri; Seyedali Mirjalili; J. A. Tenreiro Machado; Thanikanti Sudhakar Babu; Osama Elbaksawi; Ahmed Fathy (Eng. Appl. Artif. Intell., 2021)

Dynamical Analysis of the Dow Jones Index Using Dimensionality Reduction and Visualization. - António M. Lopes 001; José António Tenreiro Machado (Entropy, 2021)

Uniform Manifold Approximation and Projection Analysis of Soccer Players. - António M. Lopes 001; José António Tenreiro Machado (Entropy, 2021)

Numerical solution of the fractional Rayleigh-Stokes model arising in a heated generalized second-grade fluid. - Omid Nikan; Ahmad Golbabai; J. A. Tenreiro Machado; Touraj Nikazad (Eng. Comput., 2021)

Numerical evaluation of the fractional Klein-Kramers model arising in molecular dynamics. - Omid Nikan; J. A. Tenreiro Machado; Ahmad Golbabai; Jalil Rashidinia (J. Comput. Phys., 2021)

Numerical study of the nonlinear anomalous reaction-subdiffusion process arising in the electroanalytical chemistry. - Omid Nikan; Zakieh Avazzadeh; J. A. Tenreiro Machado (J. Comput. Sci., 2021)

Stability analysis of uncertain fractional-order neutral-type delay systems with actuator saturation. - Zahra Sadat Aghayan; Alireza Alfi; J. A. Tenreiro Machado (Frontiers Inf. Technol. Electron. Eng., 2021)

Fractional-Order Sensing and Control: Embedding the Nonlinear Dynamics of Robot Manipulators into the Multidimensional Scaling Method. - António M. Lopes 001; José António Tenreiro Machado (Sensors, 2021)

Double color image encryption based on fractional order discrete improved Henon map and Rubik's cube transform. - Liping Chen; Hao Yin; Liguo Yuan; J. A. Tenreiro Machado; Ranchao Wu; Zeeshan Alam (Signal Process. Image Commun., 2021)

A Chebyshev Wavelet Collocation Method for Some Types of Differential Problems. - Sharanjeet Dhawan; José António Tenreiro Machado; Dariusz W. Brzezinski; Mohamed S. Osman (Symmetry, 2021)

Integral Inequalities for Generalized Harmonically Convex Functions in Fuzzy-Interval-Valued Settings. - Muhammad Bilal Khan; Pshtiwan Othman Mohammed; José António Tenreiro Machado; Juan Luis García Guirao (Symmetry, 2021)

Fractional generalization of entropy improves the characterization of rotors in simulated atrial fibrillation. - Juan P. Ugarte; J. A. Tenreiro Machado; Catalina Tobón (Appl. Math. Comput., 2022)

Numerical approximation of the time fractional cable model arising in neuronal dynamics. - Omid Nikan; Ahmad Golbabai; J. A. Tenreiro Machado; Touraj Nikazad (Eng. Comput., 2022)

Multidimensional analysis of particles. - S. Hamid Mehdipour; J. A. Tenreiro Machado (Iran J. Comput. Sci., 2022)

Analysis of dual Bernstein operators in the solution of the fractional convection-diffusion equation arising in underground water pollution. - Khosro Sayevand; J. Tenreiro Machado; Imman Masti (J. Comput. Appl. Math., 2022)

Optimal Solution of a Fractional HIV/AIDS Epidemic Mathematical Model. - Hossein Hassani 005; Zakieh Avazzadeh; J. A. Tenreiro Machado; Praveen Agarwal; Maryam Bakhtiar (J. Comput. Biol., 2022)

Multidimensional Analysis of Near-Earth Asteroids. - J. A. Tenreiro Machado; S. Hamid Mehdipour (SN Comput. Sci., 2022)

An accurate localized meshfree collocation technique for the telegraph equation in propagation of electrical signals. - Omid Nikan; Zakieh Avazzadeh; J. A. Tenreiro Machado; Mohammad Navaz Rasoulizadeh (Eng. Comput., 2023)

Optimal solution of a general class of nonlinear system of fractional partial differential equations using hybrid functions. - Hossein Hassani 005; J. A. Tenreiro Machado; Eskandar Naraghirad; Zakieh Avazzadeh (Eng. Comput., 2023)