A comparative analysis of the RC circuit with local and non-local fractional derivatives

Authors

  • J. Juan Rosales García Departamento de Ingeniería Eléctrica División de Ingenierías Campus Irapuato-Salamanca Universidad de Guanajuato
  • J. David Filoteo Departamento de Ingeniería Eléctrica División de Ingenierías Campus Irapuato-Salamanca Universidad de Guanajuato
  • Andrés González Escuela de Nivel Medio Superior Universidad de Guanajuato

DOI:

https://doi.org/10.31349/RevMexFis.64.647

Keywords:

Electrical circuits, conformable derivative, fractional derivative.

Abstract

This work is devoted to investigate solutions to RC circuits using four different types of time fractional diferential operators of order  0 < γ ≤ 1. The fractional derivatives considered are, Caputo, Caputo-Fabrizio, Atangana-Baleanu and the conformable derivative. It is shown that Atangana-Baleanu fractional derivative (non-local), and the conformable (local) derivative could describe a wider class of physical processes then the Caputo and Caputo-Fabrizio. The solutions are exactly equal for all four erivatives only for the case γ=1.

Downloads

Published

2018-10-31

How to Cite

[1]
J. J. Rosales García, J. D. Filoteo, and A. González, “A comparative analysis of the RC circuit with local and non-local fractional derivatives”, Rev. Mex. Fís., vol. 64, no. 6 Nov-Dec, pp. 647–654, Oct. 2018.

Issue

Vol. 64 No. 6 Nov-Dec (2018): Revista Mexicana de Física

Section

14 Other areas in Physics

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.