eng Science and Education Publishing American Journal of Numerical Analysis 2328-7292 2014-12-23 2 6 167 176 10.12691/ajna-2-6-1 AJNA2014261 article Kholod M. Abualnaja kmaboualnaja@uqu.edu.sa 1 Department of Mathematics, Umm Al-Qura University, Makkah, Kingdom of Saudi Arabia 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. http://pubs.sciepub.com/ajna/2/6/1/ajna-2-6-1.pdf adomian decomposition method variationalal iteration method lagrange Multiplier-Caputo fractional derivative fractional Fokker-Planck equation