Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits

Amal Alshabanat; Mohamed Jleli; Sunil Kumar; Bessem Samet

doi:10.3389/fphy.2020.00064

Frontiers in Physics (Mar 2020)

Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits

Amal Alshabanat,
Mohamed Jleli,
Sunil Kumar,
Bessem Samet

Affiliations

Amal Alshabanat: Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia
Mohamed Jleli: Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia
Sunil Kumar: Department of Mathematics, National Institute of Technology, Jamshedpur, India
Bessem Samet: Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia

DOI: https://doi.org/10.3389/fphy.2020.00064
Journal volume & issue: Vol. 8

Abstract

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A new fractional derivative with a non-singular kernel involving exponential and trigonometric functions is proposed in this paper. The suggested fractional operator includes as a special case Caputo-Fabrizio fractional derivative. Theoretical and numerical studies of fractional differential equations involving this new concept are presented. Next, some applications to RC-electrical circuits are provided.

Published in Frontiers in Physics

ISSN: 2296-424X (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Science: Physics
Website: https://www.frontiersin.org/journals/physics

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