An efficient analytical approach for solving fractional Fokker-Planck equations
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DOI:
https://doi.org/10.26637/MJM0803/0092Abstract
The present study focuses on investigating the approximate analytical solutions of linear and non- linear FokkerPlanck equations (FPEs) with space- and time-fractional derivatives using an efficient analytical method, namely the Sumudu transform iterative method (STIM). The fractional derivatives are represented in the terms of Caputo. Analytical outcomes are obtained in the form of a converging series with easily computable components and are shown graphically. The results of the study suggest that the approach is simple to implement and very attractive in terms of computation.
Keywords:
Fractional differential equations, Sumudu transform, Fokker-Planck equations, Iterative method, Mittag-Leffler function, Caputo fractional derivativeMathematics Subject Classification:
Mathematics- Pages: 1248-1258
- Date Published: 01-07-2020
- Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)
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