Numerical Technique for a System of Nonlinear Partial Differential Equations of the Time-Fractional Order

Abstract

In this article, generalized differential transform method (GDTM) has been employed to obtain traveling wave solutions for some Systems of nonlinear wave equations of time-fractional order. This demonstrates the validity and great potential of the generalized differential transform method (GDTM) for solving system of nonlinear fractional partial differential equations NFDEs. Thus NFDEs can be easily solved with less computational work for any analytic nonlinearity due to the properties and available algorithms of the generalized differential transform method (GDTM). The fractional derivative is described in the Caputo fractional derivative sense. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms.