This article investigates the approximate analytical solutions of the time-fractional diffusion equations using a novel analytical approach, namely the Sumudu transform iterative method. The time-fractional derivatives are considered in the Caputo sense. The analytical solutions are found in closed form, in terms of Mittag-Leffler functions. Furthermore, the findings are shown graphically, and the solution graphs demonstrate a strong relationship between the approximate and exact solutions.
The present study focuses on investigating the approximate analytical solutions of linear and non-linear Fokker-Planck 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.
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