Fractional natural decomposition method for solving fractional system of nonlinear equations of unsteady flow of a polytropic gas

Abstract

In this paper, we apply the fractional natural decomposition method suggested by M. S. Rawashdeh et al. in [20] to derive approximate analytical solutions to system of nonlinear equations of unsteady flow of a polytropic gas with time-fractional derivatives. The proposed method (FNDM) has been applied successfully to solve this system. So, the results re-confirm that this method is very efficient and accurate to solve others nonlinear systems problems.