J. Machado

发表

The $$\psi $$-Hilfer fractional calculus of variable order and its applications

J. Sousa, J. Machado, E. C. Oliveira, 2020, Comput. Appl. Math..

Riesz potential versus fractional Laplacian

J. Machado, T. Laleg‐Kirati, J. Machado, 2014 .

Fractional Definite Integral

J. Machado, M. Ortigueira, 2017 .

Fractional derivatives and periodic functions

J. Trujillo, J. Machado, M. Ortigueira, 2017 .

Considerations about the choice of a differintegrator

J. Machado, M. Ortigueira, J. Sá da Costa, 2004, Second IEEE International Conference on Computational Cybernetics, 2004. ICCC 2004..

The Ã -Hilfer fractional calculus of variable order and its applications

J. Machado, E. C. Oliveira, José Vanterler, 2020 .

The failure of certain fractional calculus operators in two physical models

J. Machado, M. Ortigueira, V. Martynyuk, 2019, Fractional Calculus and Applied Analysis.

Special Issue on Fractional signal Processing and applications

Manuel Ortigueira, J. Machado, M. Ortigueira, 2003 .

The 21st Century Systems: An Updated Vision of Discrete-Time Fractional Models

J. Machado, M. Ortigueira, 2022, IEEE Circuits and Systems Magazine.

What is a fractional derivative?

J. Machado, M. Ortigueira, 2015, J. Comput. Phys..

Fractional order modelling of fractional-order holds

J. Machado, 2012, Nonlinear Dynamics.

Numerical approximation of the time fractional cable model arising in neuronal dynamics

T. Nikazad, A. Golbabai, J. Machado, 2020, Engineering with Computers.

Numerical approach for solving variable-order space–time fractional telegraph equation using transcendental Bernstein series

J. A. Tenreiro Machado, Z. Avazzadeh, H. Hassani, 2019, Engineering with Computers.

Uniform Manifold Approximation and Projection Analysis of Soccer Players

António M. Lopes, José António Tenreiro Machado, A. Lopes, 2021, Entropy.

Fractional signal processing and applications

José António Tenreiro Machado, Manuel Duarte Ortigueira, J. Machado, 2003, Signal Process..

Optimal Solution of a Fractional HIV/AIDS Epidemic Mathematical Model

Z. Avazzadeh, J. Machado, H. Hassani, 2022, J. Comput. Biol..

On multistep tumor growth models of fractional variable-order

Sergio Adriani David, José António Tenreiro Machado, José A. Rabi, 2020, Biosyst..

An Entropy Formulation Based on the Generalized Liouville Fractional Derivative

Rui A. C. Ferreira, J. Tenreiro Machado, R. Ferreira, 2019, Entropy.

Numerical study of the nonlinear anomalous reaction-subdiffusion process arising in the electroanalytical chemistry

Zakieh Avazzadeh, José António Tenreiro Machado, Omid Nikan, 2021, J. Comput. Sci..

Fractional calculus applications in signals and systems

José António Tenreiro Machado, Manuel Duarte Ortigueira, José António Tenreiro Machado, 2006, Signal Processing.

A Review of Sample and Hold Systems and Design of a New Fractional Algorithm

José António Tenreiro Machado, Manuel Duarte Ortigueira, Manuel Duarte Ortigueira, 2020, Applied Sciences.

Generalized shifted Chebyshev polynomials: Solving a general class of nonlinear variable order fractional PDE

H. Hassani, J. A. Tenreiro Machado, Z. Avazzadeh, 2020, Commun. Nonlinear Sci. Numer. Simul..

On a fractal LC-electric circuit modeled by local fractional calculus

Feng Gao, J. A. Tenreiro Machado, Xiao-Jun Yang, 2017, Commun. Nonlinear Sci. Numer. Simul..

Fuzzy logic embedding of fractional order sliding mode and state feedback controllers for synchronization of uncertain fractional chaotic systems

J. A. Tenreiro Machado, Alireza Alfi, Seyed Mehdi Abedi Pahnehkolaei, 2020, Comput. Appl. Math..

Analysis of diffusion process in fractured reservoirs using fractional derivative approach

J. A. Tenreiro Machado, Kambiz Razminia, Abolhassan Razminia, 2014, Commun. Nonlinear Sci. Numer. Simul..

Analysis of the Van der Pol Oscillator Containing Derivatives of Fractional Order

J. A. Tenreiro Machado, Blas M. Vinagre, Ramiro S. Barbosa, 2007 .

Fractional electronic circuit simulation of a nonlinear macroeconomic model

J. A. Tenreiro Machado, S. A. David, C. Fischer, 2018 .

Partial chaos suppression in a fractional order macroeconomic model

Sergio Adriani David, José António Tenreiro Machado, Derick D. Quintino, 2016, Math. Comput. Simul..

Command-filtered compound FAT learning control of fractional-order nonlinear systems with input delay and external disturbances

A. Alfi, J. Machado, Javad Keighobadi, 2022, Nonlinear Dynamics.

Fractional dynamic behavior in ethanol prices series

Sergio Adriani David, José António Tenreiro Machado, Cláudio M. C. Inácio, 2018, J. Comput. Appl. Math..

Dynamic stability analysis of fractional order leaky integrator echo state neural networks

J. A. Tenreiro Machado, Alireza Alfi, Seyed Mehdi Abedi Pahnehkolaei, 2017, Commun. Nonlinear Sci. Numer. Simul..

Pseudo Phase Plane and Fractional Calculus modeling of western global economic downturn

J. A. Tenreiro Machado, Maria Eugénia Mata, M. E. Mata, 2015, Commun. Nonlinear Sci. Numer. Simul..

Trends, directions for further research, and some open problems of fractional calculus

Vasily E. Tarasov, Kai Diethelm, Yuri Luchko, 2021, Nonlinear Dynamics.

Integer/fractional decomposition of the impulse response of fractional linear systems

José António Tenreiro Machado, Manuel Duarte Ortigueira, Margarita Rivero, 2015, Signal Process..

Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport

Zakieh Avazzadeh, José António Tenreiro Machado, Omid Nikan, 2021, Commun. Nonlinear Sci. Numer. Simul..

Complex-order particle swarm optimization

J. A. Tenreiro Machado, Alireza Alfi, Seyed Mehdi Abedi Pahnehkolaei, 2021, Commun. Nonlinear Sci. Numer. Simul..

The Lorentz transformations and one observation in the perspective of fractional calculus

António M. Lopes, J. A. Tenreiro Machado, Daniel Cao Labora, 2019, Communications in nonlinear science & numerical simulation.

Fractional-order modeling of a diode

António M. Lopes, J. A. Tenreiro Machado, A. Lopes, 2019, Commun. Nonlinear Sci. Numer. Simul..

Output-feedback-guaranteed cost control of fractional-order uncertain linear delayed systems

António M. Lopes, J. A. Tenreiro Machado, Kehan Wu, 2020, Computational and Applied Mathematics.

Fractional PID controller in an active image stabilization system for mitigating vibration effects in agricultural tractors

Rafael Vieira de Sousa, Rubens Andre Tabile, Sergio Adriani David, 2016, Comput. Electron. Agric..

Lyapunov method for the stability analysis of uncertain fractional-order systems under input saturation

J. A. Tenreiro Machado, Alireza Alfi, Esmat Sadat Alaviyan Shahri, 2020 .

An integro quadratic spline-based scheme for solving nonlinear fractional stochastic differential equations with constant time delay

Athanasios A. Pantelous, J. A. Tenreiro Machado, Behrouz Parsa Moghaddam, 2021, Commun. Nonlinear Sci. Numer. Simul..

Integral Inequalities for Generalized Harmonically Convex Functions in Fuzzy-Interval-Valued Settings

José António Tenreiro Machado, Pshtiwan Othman Mohammed, Juan L. G. Guirao, 2021, Symmetry.

Fractional LMS and NLMS Algorithms for Line Echo Cancellation

Naveed Ishtiaq Chaudhary, Muhammad Asif Zahoor Raja, J. A. Tenreiro Machado, 2021, Arabian Journal for Science and Engineering.

A critical analysis of the Caputo-Fabrizio operator

J. A. Tenreiro Machado, Manuel Duarte Ortigueira, J. Machado, 2018, Commun. Nonlinear Sci. Numer. Simul..

Dynamics of Commodities Prices: Integer and Fractional Models

Sergio Adriani David, José António Tenreiro Machado, Lucas R. Trevisan, 2017, Fundam. Informaticae.

Corrigendum to "On the computation of the multidimensional Mittag-Leffler function" [Commun. Nonlinear Sci. Numer. Simulat. 53 (2017) 278-287]

António M. Lopes, J. A. Tenreiro Machado, Manuel Duarte Ortigueira, 2017, Communications in nonlinear science & numerical simulation.

An innovative fractional order LMS algorithm for power signal parameter estimation

J. A. Tenreiro Machado, Naveed Ishtiaq Chaudhary, Muhammad Asif Zahoor Raja, 2020 .

Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications

Behrouz Parsa Moghaddam, J. Machado, 2016, Journal of Scientific Computing.

A new operational approach for solving fractional variational problems depending on indefinite integrals

Ali H. Bhrawy, J.A.T. Machado, Ahmed A. El-Kalaawy, 2018, Commun. Nonlinear Sci. Numer. Simul..

Adomian Decomposition and Fractional Power Series Solution of a Class of Nonlinear Fractional Differential Equations

Ravi P. Agarwal, José António Tenreiro Machado, Pshtiwan Othman Mohammed, 2021 .

Solving nonlinear systems of fractional-order partial differential equations using an optimization technique based on generalized polynomials

J. Machado, J. Machado, E. Naraghirad, 2020, Computational and Applied Mathematics.

A combined measure to differentiate EEG signals using fractal dimension and MFDFA-Hurst

Carlos Alberto Valentim, S. A. David, J.A.T. Machado, 2020, Commun. Nonlinear Sci. Numer. Simul..

Variable order fractional systems

J. A. Tenreiro Machado, Manuel Duarte Ortigueira, Duarte Valério, 2019, Commun. Nonlinear Sci. Numer. Simul..

Generalized shifted Chebyshev polynomials for fractional optimal control problems

J. A. Tenreiro Machado, Eskandar Naraghirad, Hossein Hassani, 2019, Commun. Nonlinear Sci. Numer. Simul..

Numerical solution of the fractional Rayleigh–Stokes model arising in a heated generalized second-grade fluid

T. Nikazad, J. Machado, A. Golbabai, 2020, Engineering with Computers.

Double color image encryption based on fractional order discrete improved Henon map and Rubik's cube transform

José António Tenreiro Machado, Liping Chen, Ranchao Wu, 2021, Signal Process. Image Commun..

Emerging Tools for Quantifying Unconscious Analgesia: Fractional-Order Impedance Models

Robin De Keyser, Clara M. Ionescu, J. A. Tenreiro Machado, 2014 .

Variable coefficient fractional‐order PID controller and its application to a SEPIC device

António M. Lopes, Gang Chen, Liping Chen, 2020, IET Control Theory & Applications.

Delay-dependent stability analysis of the QUAD vector field fractional order quaternion-valued memristive uncertain neutral type leaky integrator echo state neural networks

J. A. Tenreiro Machado, Alireza Alfi, Seyed Mehdi Abedi Pahnehkolaei, 2019, Neural Networks.

An Algorithm for the Approximate Solution of the Fractional Riccati Differential Equation

J. Machado, S. S. Ezz‐Eldien, J. Machado, 2019, International Journal of Nonlinear Sciences and Numerical Simulation.

A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains

J. Machado, J. Machado, F. Mohammadi, 2019, Computational and Applied Mathematics.

Optimal control of variable-order fractional model for delay cancer treatments

J. A. Tenreiro Machado, Nasser H. Sweilam, S. M. AL-Mekhlafi, 2021 .

Numerical investigation of the nonlinear modified anomalous diffusion process

T. Nikazad, J. T. Tenreiro Machado, A. Golbabai, 2019, Nonlinear Dynamics.

Optimal solution of a general class of nonlinear system of fractional partial differential equations using hybrid functions

J. Machado, Z. Avazzadeh, J. Machado, 2022, Engineering with Computers.

An Efficient Numerical Scheme for Solving Multi‐Dimensional Fractional Optimal Control Problems With a Quadratic Performance Index

J. A. Tenreiro Machado, Ali H. Bhrawy, Eid H. Doha, 2015 .