https://doi.org/10.1140/epjp/i2019-12618-x
Regular Article
Analytical solutions of electrical circuits considering certain generalized fractional derivatives
1
Laboratoire Lmdan, Département de Mathématiques de la Décision, Université Cheikh Anta Diop de Dakar, Faculté des Sciences Economiques et Gestion, BP 5683, Dakar Fann, Senegal
2
CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca, Morelos, Mexico
* e-mail: jgomez@cenidet.edu.mx
Received:
7
February
2019
Accepted:
7
March
2019
Published online:
11
June
2019
The paper addresses the analytical solutions for the RL, LC, RC and RLC electrical circuits described by the left generalized fractional derivative operator and the Caputo left generalized fractional derivative. The 
-Laplace transform introduced by Fahd and Thabet was used to obtain the analytical solutions of the electrical circuit equations described by certain generalized fractional derivative operators. Finally, we present some numerical simulations of the analytical solutions of the RL, LC, RC and RLC electrical circuit equations described by certain generalized fractional derivatives.
© Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019
