The differential transform of the Caputo-Fabrizio fractional derivative

Volume 33, Issue 2, pp 137--145 https://dx.doi.org/10.22436/jmcs.033.02.02

Publication Date: December 05, 2023 Submission Date: June 29, 2023 Revision Date: September 23, 2023 Accteptance Date: November 01, 2023

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Authors

R. AlAhmad - Mathematics department, Yarmouk University, Irbid, 21163, Jordan.

Abstract

In this paper, we introduce the differential transform of Caputo-Fabeizio fractional derivatives which transforms the fractional derivatives into power series. This is an extension of the differential transform from ordinary derivatives to fractional ones. Interestingly, this transformation will help to solve fractional differential equations using the series method and by applying properties of difference operators.

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Keywords

• Differential transform
• fractional derivatives
• Caputo fractional derivative
• Caputo-Fabrizio fractional derivative
• Laplace transform

MSC

•  44A10
•  26A33

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