Numerical solution for fractional model of Fokker-Planck equation by using q-HATM

In this paper, we present a hybrid computational algorithm which is an inventive reconciliation of q-homotopy analysis method (q-HAM) and Laplace transform (LT) to procure the solution of time- fractional and space-time fractional Fokker-Planck equation. The proposed method gives an analytical solution in the form of a convergent series with easily computable components. The outcomes disclose that the present approach is user friendly and an appropriate selection of auxiliary parameters h and n (n ≥ 1) gives more correct approximations identical to exact solution. The auxiliary parameter h in q-HATM provides a convenient way of controlling the convergence region of series solutions.