Solution of fractional third-order dispersive partial differential equations

In this paper, we proposed fractional differential transform method(FDTM) and modified fractional differential transform method(MFDTM) for the solution of fractional third-order dispersive partial differential equations in one- and higher-dimensional spaces. The plotted graphs illustrate the behavior of the solution for different values of fractional orderα. The efficiency and accurateness of the proposed methods are examined by means of four numerical experiments.