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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
computer science
Electrical circuits RC, LC, and RL described by Atangana–Baleanu fractional derivatives
International Journal of Circuit Theory and Applications, Volume 45, No. 11, Year 2017
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Description
In this paper, the analytical solutions for the electrical series circuits RC, LC, and RL using novel fractional derivatives of type Atangana–Baleanu with non-singular and nonlocal kernel in Liouville–Caputo and Riemann–Liouville sense were obtained. The fractional equations in the time domain are considered derivatives in the range α∈(0;1]; analytical solutions are presented considering different source terms introduced in the fractional equation. We solved analytically the fractional equation using the properties of Laplace transform operator together with the convolution theorem. On the basis of the Mittag–Leffler function, new behaviors for the voltage and current were obtained; the classical cases are recovered when α=1. Copyright © 2017 John Wiley & Sons, Ltd.
Authors & Co-Authors
Gómez-Aguilar, José Francisco
Mexico, Cuernavaca
Centro Nacional de Investigación y Desarrollo Tecnológico, Mexico
Atangana, Abdon
South Africa, Bloemfontein
University of the Free State
Morales-Delgado, Victor Fabian
Mexico
Universidad Autónoma de Guerrero
Statistics
Citations: 130
Authors: 3
Affiliations: 3
Identifiers
Doi:
10.1002/cta.2348
ISSN:
00989886
e-ISSN:
1097007X