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

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

Amal Alshabanat
, Mohamed Jleli
, Sunil Kumar
, Bessem Samet

King Saud University
National Institute of Technology Jamshedpur

Research output: Contribution to journal › Article › peer-review

160 Scopus citations

Abstract

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.

Original language	English
Article number	64
Journal	Frontiers in Physics
Volume	8
DOIs	https://doi.org/10.3389/fphy.2020.00064
State	Published - 20 Mar 2020
Externally published	Yes

Keywords

Picard iteration
RC-electrical circuit
convergence
fractional derivative
non-singular kernel

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10.3389/fphy.2020.00064

Cite this

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title = "Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits",

abstract = "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.",

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AU - Alshabanat, Amal

AU - Jleli, Mohamed

AU - Kumar, Sunil

AU - Samet, Bessem

PY - 2020/3/20

Y1 - 2020/3/20

N2 - 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.

AB - 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.

KW - Picard iteration

KW - RC-electrical circuit

KW - convergence

KW - fractional derivative

KW - non-singular kernel

UR - https://www.scopus.com/pages/publications/85083054621

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DO - 10.3389/fphy.2020.00064

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VL - 8

JO - Frontiers in Physics

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ER -

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

Abstract

Keywords

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