Analysis of Multiterm Initial Value Problems with Caputo-Fabrizio Derivative

Moh'd A. Alrefai; Muhammed Syam

doi:10.1155/2021/8231828

Analysis of Multiterm Initial Value Problems with Caputo-Fabrizio Derivative

Moh'd A. Alrefai, Muhammed Syam

Department of Mathematical Sciences

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

Abstract

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.

Original language	English
Article number	8231828
Journal	Journal of Mathematics
Volume	2021
DOIs	https://doi.org/10.1155/2021/8231828
Publication status	Published - 2021

ASJC Scopus subject areas

Mathematics(all)

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10.1155/2021/8231828

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title = "Analysis of Multiterm Initial Value Problems with Caputo-Fabrizio Derivative",

abstract = "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.",

author = "Alrefai, {Moh'd A.} and Muhammed Syam",

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year = "2021",

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AB - 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.

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DO - 10.1155/2021/8231828

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SN - 2314-4629

VL - 2021

JO - Journal of Mathematics

JF - Journal of Mathematics

M1 - 8231828

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Analysis of Multiterm Initial Value Problems with Caputo-Fabrizio Derivative

Abstract

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