Science and Education Publishing American Journal of Numerical Analysis 2328-7292 2 6 2014 12 23 Numerical Treatments for the Fractional Fokker-Planck Equation 167 176 EN Kholod M. Abualnaja Department of Mathematics, Umm Al-Qura University, Makkah, Kingdom of Saudi Arabia AJNA2014261 10.12691/ajna-2-6-1 2014 12 04 2014 12 20 2014 12 23 In this paper, by introducing the fractional derivative in the sense of Caputo, of the Adomian decomposition method and the variational iteration method are directly extended to Fokker - Planck equation with time-fractional derivatives, as result the realistic numerical solutions are obtained in a form of rapidly convergent series with easily computable components. The figures show the effectiveness and good accuracy of the proposed methods.