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Analysis of Multiterm Initial Value Problems with Caputo–Fabrizio Derivative

Mohammed Al-Refai, Muhammed Syam and Antonio Di Crescenzo

Journal of Mathematics, 2021, vol. 2021, 1-6

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8231828

DOI: 10.1155/2021/8231828

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