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In this paper, we obtain the solutions of a cauchy problems for differential equations with the Caputo fractional derivative and the solution of fractional Diffusion-Wave equation by using Sumudu transform techniques. The results presented here are in compact and elegant expressed in term of Mittag-Leffler function and generalized Mittag-Leffler function which are suitable for numerical computation.

Sumudu Transform Method For Solving Fractional Differential Equations And Fractional Diffusion-wave Equation