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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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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spelling doaj-b01234c2de57432c9235fc9de337a5962020-11-25T00:45:23ZengFrontiers Media S.A.Frontiers in Physics2296-424X2020-03-01810.3389/fphy.2020.00064522864Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical CircuitsAmal Alshabanat0Mohamed Jleli1Sunil Kumar2Bessem Samet3Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi ArabiaDepartment of Mathematics, College of Science, King Saud University, Riyadh, Saudi ArabiaDepartment of Mathematics, National Institute of Technology, Jamshedpur, IndiaDepartment of Mathematics, College of Science, King Saud University, Riyadh, Saudi ArabiaA 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.https://www.frontiersin.org/article/10.3389/fphy.2020.00064/fullfractional derivativenon-singular kernelPicard iterationRC-electrical circuitconvergence
collection DOAJ
language English
format Article
sources DOAJ
author Amal Alshabanat
Mohamed Jleli
Sunil Kumar
Bessem Samet
spellingShingle Amal Alshabanat
Mohamed Jleli
Sunil Kumar
Bessem Samet
Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits
Frontiers in Physics
fractional derivative
non-singular kernel
Picard iteration
RC-electrical circuit
convergence
author_facet Amal Alshabanat
Mohamed Jleli
Sunil Kumar
Bessem Samet
author_sort Amal Alshabanat
title Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits
title_short Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits
title_full Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits
title_fullStr Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits
title_full_unstemmed Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits
title_sort generalization of caputo-fabrizio fractional derivative and applications to electrical circuits
publisher Frontiers Media S.A.
series Frontiers in Physics
issn 2296-424X
publishDate 2020-03-01
description 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.
topic fractional derivative
non-singular kernel
Picard iteration
RC-electrical circuit
convergence
url https://www.frontiersin.org/article/10.3389/fphy.2020.00064/full
work_keys_str_mv AT amalalshabanat generalizationofcaputofabriziofractionalderivativeandapplicationstoelectricalcircuits
AT mohamedjleli generalizationofcaputofabriziofractionalderivativeandapplicationstoelectricalcircuits
AT sunilkumar generalizationofcaputofabriziofractionalderivativeandapplicationstoelectricalcircuits
AT bessemsamet generalizationofcaputofabriziofractionalderivativeandapplicationstoelectricalcircuits
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