Numerical Solution for Conformable Fractional PDEs by Using a New Double Conformable Integral Transform-Decomposition Method

The conformable Sumudu-Elzaki Transform Decomposition Method CSETDM is used in this research to handle the approximate numerical solutions for the regular and singular one-dimensional conformable Fractional Coupled Burger's Equation CFCBsE and the Nonlinear Singular Conformable Pseudohyperbolic equation NSCPE. This method is generalized in the sense of conformable derivatives. Essential results and theorems concerning this method are discussed. Some numerical examples are given to exhibit the proposed technique's viability, applicability, and effortlessness.

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Publication Details

Journal
Iraqi Journal of Science
Published
2024-08-30
DOI
https://doi.org/10.24996/ijs.2024.65.8.30
Primary Topic
Fractional Differential Equations Solutions
Type
article
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article

Numerical Solution for Conformable Fractional PDEs by Using a New Double Conformable Integral Transform-Decomposition Method

Mohammed G. S. Al-Safi
Iraqi Journal of Science
Fractional Differential Equations Solutions
article

Numerical Solution for Conformable Fractional PDEs by Using a New Double Conformable Integral Transform-Decomposition Method

Mohammed G. S. Al-Safi
article en

Abstract

The conformable Sumudu-Elzaki Transform Decomposition Method CSETDM is used in this research to handle the approximate numerical solutions for the regular and singular one-dimensional conformable Fractional Coupled Burger's Equation CFCBsE and the Nonlinear Singular Conformable Pseudohyperbolic equation NSCPE. This method is generalized in the sense of conformable derivatives. Essential results and theorems concerning this method are discussed. Some numerical examples are given to exhibit the proposed technique's viability, applicability, and effortlessness.

Iraqi Journal of Science
Al Mansour University College (IQ)
Openalex Percentile: Top 84%
Fractional Differential Equations Solutions
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