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Novel approach for solving fractional partial differential equations using conformable Elzaki Transform

Author name : Shams Eldeen Ahmed Abdelmajed Mohammed
Publication Date : 2024-09-19
Journal Name : Journal of Umm Al-Qura University for Applied Sciences

Abstract

This article discusses three different kinds of fractional partial differential equations (FPDEs) and how to solve them. First, a reformulation of the conformable fractional Elzaki Transform (ET) method is shown. The proposed methodology is then applied to the solution of three different types of FPDEs. The effectiveness and dependability of the proposed strategy are found to be validated by numerical simulations. We believe the provided strategy is very successful and straightforward to adapt of many types of FPDEs. This method is one of the completely new approaches for solving FPDEs because of its exceptional correctness and speed, which set it apart from other approaches.

Keywords

Conformable Elzaki Transform (CET) ; New technique ; Fractional PDEs

Publication Link

https://doi.org/10.1007/s43994-024-00188-0

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