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

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

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 equatio...

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Bibliographic Details
Main Authors: Amal Alshabanat, Mohamed Jleli, Sunil Kumar, Bessem Samet
Format: Article
Language:English
Published: Frontiers Media S.A. 2020-03-01
Series:Frontiers in Physics
Subjects:
fractional derivative
non-singular kernel
Picard iteration
RC-electrical circuit
convergence
Online Access:https://www.frontiersin.org/article/10.3389/fphy.2020.00064/full

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