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


How to Cite

Bodkhe, D. S. (2024). The Solution of Caputo Fractional Partial Differential Equations By Sumudu Transform. Asian Journal of Mathematics and Computer Research, 31(2), 68–79. https://doi.org/10.56557/ajomcor/2024/v31i28657

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