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

Authors

Ali Moazzam University of Agriculture Faisalab, Pakistan
Adnan Shokat Comsats University, Islamabad, Pakistan,
Emad A. Kuffi Al-Qadisiyah University, College of Engineering, Iraq

DOI:

https://doi.org/10.30526/36.1.3029

Keywords:

alpha-Sumudu, Mittag-Leffler, homotopy perturbation method, He’s Polynomials

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.

Author Biographies

Ali Moazzam, University of Agriculture Faisalab, Pakistan
Adnan Shokat, Comsats University, Islamabad, Pakistan,
Emad A. Kuffi, Al-Qadisiyah University, College of Engineering, Iraq

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