Selected Publications

  • J. A. Tenreiro Machado, Theory of Fractional Integrals and Derivatives: Application to Motion Control, ICRAM’95 - IEEE/IFAC/ASME/JSME International Conference on Recent Advances in Mechatronics, pg. 1086-1091, 14-16/Aug/1995, Istanbul, Turkey.
  • J. A. Tenreiro Machado, Analysis and Design of Fractional-Order Digital Control Systems, Systems Analysis-Modelling-Simulation, Gordon & Breach Science Publishers, vol. 27, Issue 2-3, pp. 107-122, 1997, ISSN:0232-9298.
  • J. A. Tenreiro Machado, Fractional-Order Derivative Approximations in Discrete-Time Control Systems, Systems Analysis-Modelling-Simulation, Gordon & Breach Science Publishers, vol. 34, pp. 419-434, 1999, ISSN 0232-9298.
  • J. A. Tenreiro Machado, A Probabilistic Interpretation of the Fractional-Order Differentiation, FCAA - Journal of Fractional Calculus & Applied Analysis, vol. 6, n. 1, pp. 73-80, 2003.
  • J. A. Tenreiro Machado, Alexandra M. S. Galhano, Statistical Fractional Dynamics, ASME Journal of Computational and Nonlinear Dynamics, vol. 3, Issue 2, pp. 021201-1 - 021201-5, April 2008.
  • J. A. Tenreiro Machado, Entropy Analysis of Integer and Fractional Dynamical Systems, Nonlinear Dynamics, Springer, vol. 62, Numbers 1-2, pp. 371-378, 2010.
  • J. A. Tenreiro Machado, Optimal Tuning of Fractional Controllers Using Genetic Algorithms, Nonlinear Dynamics, Springer, vol. 62, Numbers 1-2, pp. 447-452, 2010.
  • J. A. Tenreiro Machado, V. Kiryakova, F. Mainardi, A Poster About the Recent History of Fractional Calculus, FCAA - Journal of Fractional Calculus & Applied Analysis, Vol. 13, No 3, pp. 329-334, 2010. A3-Poster1.
  • J. A. Tenreiro Machado, V. Kiryakova, F. Mainardi, A Poster About the Old History of Fractional Calculus, FCAA - Journal of Fractional Calculus & Applied Analysis, Vol. 13, No. 4, pp. 447-454, 2010. A3-Poster2.
  • J. A. Tenreiro Machado, Fractional Dynamics of a System with Particles Subjected to Impacts, Communications in Nonlinear Science and Numerical Simulations, vol. 16, Issue 12, pp. 4596-4601, December 2011.
  • J. A. Tenreiro Machado, Exploiting Sensor Redundancy for the Calculation of Fractional Derivatives in the Presence of Noise, Signal Processing, vol. 92, Issue 1, pp. 204-209, January 2012
  • J. A. Tenreiro Machado, Alexandra M.S.F. Galhano, Fractional Order Inductive Phenomena Based on the Skin Effect, Nonlinear Dynamics, vol. 68, Numbers 1-2, pp. 107-115, 2012.
  • J. Tenreiro Machado, Accessing Complexity from Genome Information, Communications in Nonlinear Science and Numerical Simulations, vol. 17, Issue 6, pp. 2237-2243, June 2012.
  • J. A. Tenreiro Machado, Complex Evolution of a Multi-particle System, Applied Mathematical Modelling, vol. 37, Issue 22, pp. 9203-9214, November 2013.
  • J. Tenreiro Machado, Optimal Controllers with Complex Order Derivatives, Journal of Optimization Theory and Applications, Springer, vol. 156, Issue 1, pp. 2-12, January 2013.
  • J. A. Tenreiro Machado, Fractional Generalization of Memristor and Higher Order Elements, Communications in Nonlinear Science and Numerical Simulation, vol. 18, Issue 12, pp. 264-275, 2013.
  • J. A. Tenreiro Machado, Relativistic Time Effects in Financial Dynamics, Nonlinear Dynamics, vol. 75, Issue 4, pp. 735-744, 2014.
  • J. A. Tenreiro Machado, Fractional Order Generalized Information, Entropy vol. 16, no. 4, pp. 2350-2361, 2014
  • J. A. Tenreiro Machado, Fractional Calculus: Models, Algorithms, Technology, Discontinuity, Nonlinearity, and Complexity, vol. 4, n. 4, pp. 383-389, 2015. A3-Poster3.
  • J. A. Tenreiro Machado, António M. Lopes, Analysis of Natural and Artificial Phenomena, Fractional Calculus and Applied Analysis, Vol. 18, No. 2, pp. 459-478, 2015.
  • J. A. Tenreiro Machado, Maria Eugénia Mata, A Fractional Perspective to the Bond Graph Modelling of World Economies, Nonlinear Dynamics, vol. 80, Issue 4, pp 1839-1852, 2015.
  • António Mendes Lopes, José Tenreiro Machado, Maria Eugénia Mata, Analysis of global terrorism dynamics by means of entropy and state space portrait, Nonlinear Dynamics, vol. 85, Issue 3, pp. 1547-1560, 2016.
  • J. A. Tenreiro Machado, António Mendes Lopes, Multidimensional Scaling Analysis of Soccer Dynamics, Applied Mathematical Modelling, vol. 45, pp. 642-652, 2017.
  • J. A. Tenreiro Machado, António M. Lopes, Approximation of data using non-integer harmonics series, Nonlinear Dynamics, vol. 89, Issue 4, pp 2845-2854, 2017.
  • J. A. Tenreiro Machado, Bond Graph and Memristor Approach to DNA Analysis, Nonlinear Dynamics, vol. 88, Issue 2, pp 1051-1057, 2017.
  • J. Tenreiro Machado, Alexandra M. Galhano, A Fractional Calculus Perspective of Distributed Propeller Design, Communications in Nonlinear Science and Numerical Simulation, vol. 55, pp. 174-182, 2018.