Application of residual power series method to time fractional gas dynamics equations

Abstract

In this study, we proposed the power series method called Residual Power Series(RPS) method coupled with Fractional Complex Transform(FCT) to solve the time fractional nonlinear gas dynamics equations. FCT is the alternative approach in fractional calculus which transforms the fractional differential equation in to integer order differential equation making the solution in simple manner. The results reveal that RPS method is simple and convenient for similar type of time fractional nonlinear differential equations.