Abstract:
The fractional reduced differential transform method (FRDTM) was a well-known method for
finding an approximate analytic solution for linear and nonlinear fractional partial differential
equations. FRDTM is an effective tool to solve partial differential equations analytically. This
method provides the solution in the form of a convergent series with easily calculable terms. In this
study FRDTM has been successfully applied on one dimensional time fractional Fornberg-Whitham
equation subjected to the given initial condition. The efficacy and accuracy of FRDTM is
demonstrated by two examples, which indicate that the presented method is very effective, accurate
and easy to emplement.The plotted graphs illustrate the behavior of the solution for different values
of order