Analytical Approach for Solving Space-Time Gas Dynamic Equations of Fractional Order Via Laplace transform

Abstract

This article implements the iterative Laplace transform method to derive approximate analytical solutions in series form for non-linear homogeneous and nonhomogeneous space-time fractional gas dynamic equations. The fractional derivatives described here are in the Caputo sense. In addition, the results of this study are depicted graphically, and the solution graphs reveal a strong relationship between the approximate and exact solutions.