Analysis of Multiterm Initial Value Problems with Caputo–Fabrizio Derivative

In this paper, we discuss the solvability of a class of multiterm initial value problems involving the Caputo–Fabrizio fractional derivative via the Laplace transform. We derive necessary and sufficient conditions to guarantee the existence of solutions to the problem. We also obtain the solutions i...

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Autores principales:	Mohammed Al-Refai, Muhammed Syam
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/23b78cbaad6549cc9e35521001cc655e
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spelling	oai:doaj.org-article:23b78cbaad6549cc9e35521001cc655e2021-11-22T01:09:58ZAnalysis of Multiterm Initial Value Problems with Caputo–Fabrizio Derivative2314-478510.1155/2021/8231828https://doaj.org/article/23b78cbaad6549cc9e35521001cc655e2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/8231828https://doaj.org/toc/2314-4785In this paper, we discuss the solvability of a class of multiterm initial value problems involving the Caputo–Fabrizio fractional derivative via the Laplace transform. We derive necessary and sufficient conditions to guarantee the existence of solutions to the problem. We also obtain the solutions in closed forms. We present two examples to illustrate the validity of the obtained results.Mohammed Al-RefaiMuhammed SyamHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Mohammed Al-Refai Muhammed Syam Analysis of Multiterm Initial Value Problems with Caputo–Fabrizio Derivative
description	In this paper, we discuss the solvability of a class of multiterm initial value problems involving the Caputo–Fabrizio fractional derivative via the Laplace transform. We derive necessary and sufficient conditions to guarantee the existence of solutions to the problem. We also obtain the solutions in closed forms. We present two examples to illustrate the validity of the obtained results.
format	article
author	Mohammed Al-Refai Muhammed Syam
author_facet	Mohammed Al-Refai Muhammed Syam
author_sort	Mohammed Al-Refai
title	Analysis of Multiterm Initial Value Problems with Caputo–Fabrizio Derivative
title_short	Analysis of Multiterm Initial Value Problems with Caputo–Fabrizio Derivative
title_full	Analysis of Multiterm Initial Value Problems with Caputo–Fabrizio Derivative
title_fullStr	Analysis of Multiterm Initial Value Problems with Caputo–Fabrizio Derivative
title_full_unstemmed	Analysis of Multiterm Initial Value Problems with Caputo–Fabrizio Derivative
title_sort	analysis of multiterm initial value problems with caputo–fabrizio derivative
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/23b78cbaad6549cc9e35521001cc655e
work_keys_str_mv	AT mohammedalrefai analysisofmultiterminitialvalueproblemswithcaputofabrizioderivative AT muhammedsyam analysisofmultiterminitialvalueproblemswithcaputofabrizioderivative
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Analysis of Multiterm Initial Value Problems with Caputo–Fabrizio Derivative

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