APPLICATION OF SUMUDU TRANSFORM IN FRACTIONAL DIFFERENTIAL EQUATIONS AND FRACTIONAL DIFFUSION-WAVE EQUATION

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