Article ID Journal Published Year Pages File Type
8254279 Chaos, Solitons & Fractals 2017 12 Pages PDF
Abstract
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.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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