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AIMS Mathematics
Article . 2025 . Peer-reviewed
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AIMS Mathematics
Article . 2025
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Applications of Elzaki transform to non-conformable fractional derivatives

Authors: Shams A. Ahmed; Tarig M. Elzaki; Abdelgabar Adam Hassan; Husam E. Dargail; Hamdy M. Barakat; M. S. Hijazi;

Applications of Elzaki transform to non-conformable fractional derivatives

Abstract

This study presents the nonconformable fractional Elzaki transform (NCFET) method. We used this method to solve various fractional differential equations (FDEs) with nonconformable fractional derivatives (NCFDs). We studied and proved the basic properties and advantages of this new method. We discussed some examples and conducted a comparative study, presenting exact results through graphs and tables. The results showed that the new method worked well, was easy to use, and could correctly solve several fractional differential equations, even those with nonconformable fractional derivatives.

Keywords

nonconformable fractional derivatives, elzaki transform, fractional ordinary differential equations, QA1-939, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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