Abstract

ROSALES, J.J.; FILOTEO, J.D.  and  GONZALEZ, A.. A comparative analysis of the RC circuit with local and non-local fractional derivatives. Rev. mex. fis. [online]. 2018, vol.64, n.6, pp.647-654.  Epub Nov 05, 2019. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.64.647.

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.

Keywords : Caputo; Caputo-Fabrizio; Atangana-Baleanu; conformable derivative.; 02.30.Hq; 07.50.Ek.

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