Analysis of Multiterm Initial Value Problems with Caputo–Fabrizio Derivative | Zendy

Mohammed Al-Refai | Zendy; Muhammed I. Syam | Zendy

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Analysis of Multiterm Initial Value Problems with Caputo–Fabrizio Derivative

Author(s) -

Mohammed Al-Refai,

Muhammed I. Syam

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/8231828

Subject(s) - laplace transform , mathematics , value (mathematics) , derivative (finance) , initial value problem , class (philosophy) , mathematical analysis , fractional calculus , statistics , computer science , artificial intelligence , financial economics , economics

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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