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
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.
Share and Cite
ISRP Style
R. AlAhmad, The differential transform of the Caputo-Fabrizio fractional derivative, Journal of Mathematics and Computer Science, 33 (2024), no. 2, 137--145
AMA Style
AlAhmad R., The differential transform of the Caputo-Fabrizio fractional derivative. J Math Comput SCI-JM. (2024); 33(2):137--145
Chicago/Turabian Style
AlAhmad, R.. "The differential transform of the Caputo-Fabrizio fractional derivative." Journal of Mathematics and Computer Science, 33, no. 2 (2024): 137--145
Keywords
- Differential transform
- fractional derivatives
- Caputo fractional derivative
- Caputo-Fabrizio fractional derivative
- Laplace transform
MSC
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