# α-Sumudu Transformation Homotopy Perturbation Technique on Fractional Gas Dynamical Equation

## Abstract

Transformation and many other substitution methods have been used to solve non-linear differential fractional equations. In this present work, the homotopy perturbation method to solve the non-linear differential fractional equation with the help of He’s Polynomials is provided as the transformation plays an essential role in solving differential linear and non-linear equations. Here is the α-Sumudu technique to find the relevant results of the gas dynamics equation in fractional order. To calculate the non-linear fractional gas dynamical problem, a consumer method created on the new homotopy perturbation a-Sumudu transformation method (HP TM) is suggested. In the Caputo type, the derivative is evaluated. a-Sumudu homotopy perturbation technique and He’s polynomials are all incorporated in the HPSaTM. The availability of He’s polynomials could be used to conveniently manage the non-linearity. The suggested approach shows that the strategy is simple to implement and provides results that can be compared to the results gained from any other transformation technique.

## Article Details

How to Cite
Moazzam, A., Shokat, A. ., & Kuffi, E. A. . (2023). α-Sumudu Transformation Homotopy Perturbation Technique on Fractional Gas Dynamical Equation. Ibn AL-Haitham Journal For Pure and Applied Sciences, 36(1), 325–332. https://doi.org/10.30526/36.1.3029
Issue
Section
mathematics
Author Biographies

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