J. A. Tenreiro Machado

Research interests

Publications

• A review of definitions of fractional derivatives and other operators

  Journal of Computational Physics · 2019 · https://doi.org/10.1016/j.jcp.2019.03.008

• Introduction to Fractional Differential Equations

  Nonlinear systems and complexity · 2018 · 10.1007/978-3-030-00895-6

• A new fractional operator of variable order: Application in the description of anomalous diffusion

  Physica A Statistical Mechanics and its Applications · 2017 · https://doi.org/10.1016/j.physa.2017.04.054

• The role of fractional calculus in modeling biological phenomena: A review

  Communications in Nonlinear Science and Numerical Simulation · 2017 · https://doi.org/10.1016/j.cnsns.2017.04.001

• EXACT TRAVELING-WAVE SOLUTION FOR LOCAL FRACTIONAL BOUSSINESQ EQUATION IN FRACTAL DOMAIN

  Fractals · 2017 · 10.1142/s0218348x17400060

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

  Communications in Nonlinear Science and Numerical Simulation · 2016 · https://doi.org/10.1016/j.cnsns.2016.11.017

• On exact traveling-wave solutions for local fractional Korteweg-de Vries equation

  Chaos An Interdisciplinary Journal of Nonlinear Science · 2016 · https://doi.org/10.1063/1.4960543

• A review of operational matrices and spectral techniques for fractional calculus

  Nonlinear Dynamics · 2015 · 10.1007/s11071-015-2087-0

• A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow

  Thermal Science · 2015 · https://doi.org/10.2298/tsci151224222y

• Some pioneers of the applications of fractional calculus

  Fractional Calculus and Applied Analysis · 2014 · https://doi.org/10.2478/s13540-014-0185-1

• What is a fractional derivative?

  Journal of Computational Physics · 2014 · https://doi.org/10.1016/j.jcp.2014.07.019

• A Review of Definitions for Fractional Derivatives and Integral

  Mathematical Problems in Engineering · 2014 · https://doi.org/10.1155/2014/238459

• Fractional calculus: A survey of useful formulas

  The European Physical Journal Special Topics · 2013 · https://doi.org/10.1140/epjst/e2013-01967-y

• Particle swarm optimization with fractional-order velocity

  Nonlinear Dynamics · 2010 · https://doi.org/10.1007/s11071-009-9649-y

• Recent history of fractional calculus

  Communications in Nonlinear Science and Numerical Simulation · 2010 · https://doi.org/10.1016/j.cnsns.2010.05.027

• Modeling of the Lung Impedance Using a Fractional-Order Ladder Network With Constant Phase Elements

  IEEE Transactions on Biomedical Circuits and Systems · 2010 · https://doi.org/10.1109/tbcas.2010.2077636

• Fractional Order Calculus: Basic Concepts and Engineering Applications

  Mathematical Problems in Engineering · 2010 · https://doi.org/10.1155/2010/375858

• Some Applications of Fractional Calculus in Engineering

  Mathematical Problems in Engineering · 2009 · https://doi.org/10.1155/2010/639801

• New Trends in Nanotechnology and Fractional Calculus Applications

  Journal · 2009 · https://doi.org/10.1007/978-90-481-3293-5

• Fractional control of heat diffusion systems

  Nonlinear Dynamics · 2008 · 10.1007/s11071-007-9322-2

• Development of fractional order capacitors based on electrolyte processes

  Nonlinear Dynamics · 2008 · https://doi.org/10.1007/s11071-008-9377-8

• Time domain design of fractional differintegrators using least-squares

  Signal Processing · 2006 · 10.1016/j.sigpro.2006.02.005

• Tuning of PID Controllers Based on Bode?s Ideal Transfer Function

  Nonlinear Dynamics · 2004 · https://doi.org/10.1007/s11071-004-3763-7

• Towards the development of intelligent transportation systems

  Journal · 2002 · https://doi.org/10.1109/itsc.2001.948835

• Discrete-time fractional-order controllers

  Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT) · 2001

• Analysis and design of fractional-order digital control systems

  Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT) · 1997 · https://doi.org/10.5555/255030.255034

Current projects

No projects listed.