AN ANALYTICAL STUDY OF SPACE-TIME FRACTIONAL ORDER GAS DYNAMIC EQUATIONS
By
R. K. Bairwa and Karan Singh
Department of Mathematics, University of Rajasthan, Jaipur, Rajasthan-302004, India.
Email: dr.rajendra.maths@gmail.com, karansinghmath@gmail.com
(Received: May 03, 2022; In format: May 11, 2022; Revised: July 24, 2023; Accepted: August 30, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53201
Abstract
In this article, the Sumudu transform with iterative method is implemented to obtain approximate analytical solutions in series form to non-linear homogeneous and non-homogeneous space-time fractional gas dynamic equations. The fractional derivatives presented here are in the Caputo sense. Furthermore, the findings of this study are graphically represented and the solution graphs demonstrate a strong connection between the approximate and exact solutions.
2020 Mathematical Sciences Classification: 33E12, 26A33, 35A22, 35A24, 35G25.
Keywords and Phrases: Gas dynamic equations, Sumudu transform, iterative method, Mittag-Leer functions, Caputo fractional derivatives, fractional differential equations.