Efficient Iterative Transform Approach for Solving Time-Fractional Fokker-Planck Equations

الملخص

An iterative semi-analytical transform approach is suggested in this paper for solving a time-fractional Fokker-Planck (FrF-P) partial differential equations. The Kashuri-Fundo transform and the variational iteration method are the key components of the suggested method. The fractional derivative is taken in the Caputo sense.  The solution is given as a rapidly converging fractional power series with simple coefficients. Some illustrative examples are solved to show how practical and effective the proposed approach is.