The Solution of Caputo Fractional Partial Differential Equations By Sumudu Transform
D. S. Bodkhe *
Department of Mathematics, Anandrao Dhonde Alias Babaji Mahavidyalaya, Kada, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we obtained an explicit solutions of the fractional diffusion-wave equations involving partial Caputo fractional derivative by using Sumudu transform. The solutions of the fractional diffusion-wave equations obtained in terms of Mittag-Leffler function and generalized Wright function.Some illustrative examples are also given.
Keywords: Sumudu transform, wright function, mittag-Leffler function, fractional derivatives, differential equations