Author/Authors :
Ayati، Z. نويسنده Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran , , Biazar، J. نويسنده Mathematical Assistant with the Oil and Gas Research Group at Dalhousie University, Canada, during the summer, and is currently Professor of Applied M , , Ebrahimi، Soodabeh نويسنده 2Department of Applied Mathematics, Faculty of Mathematical Science, University of Guilan, P.O. Box 41635-19141, P.C. 4193833697, Rasht, Iran. ,
Abstract :
In this paper, a new form of homotopy perturbation method has been adopted for solving the spacetime
dependent fractional Fokker-Planck equation. The fractional derivatives are described in the
Caputo sense. The method gives an analytic solution in the form of a convergent series with easily
computable components, requiring no linearization or small perturbation. The numerical results show
that the approaches are easy to implement and accurate when applied to the space-time dependent
fractional Fokker-Planck equations. The method introduces a promising tool for solving many spacetime
fractional partial differential equations.
