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Analytical solution of partial differential equations by using a new double fuzzy integral transform

Author name : Shams Eldeen Ahmed Abdelmajed Mohammed
Publication Date : 2025-03-05
Journal Name : AIP Publishing

Abstract

The main objective of this work is to presents the application of the double fuzzy Sumudu-Elzaki transform (DFSET) as a solution method for fuzzy partial differential equations. Also, in this work, we establish several fundamental findings. In this discourse, we shall examine the overarching approach to resolving fuzzy partial differential equations within the framework of strongly generalized differentiability. The modified DFSET is utilized in our study. To ensure the validity and correctness of this particular method, we present multiple examples and their corresponding simulations. Ultimately, we present the final analysis and reach a conclusive conclusion.

Keywords

Fuzzy Set Theory, Fuzzy Numbers, Fuzzy-Valued Functions, Sumudu-Elzaki Transform, Fuzzy Partial Differential Equations

Publication Link

https://doi.org/10.1063/5.0258446

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