# Solution of fractional Distributed Order Reaction-Diffusion Systems with Sumudu Transform

## TL;DR

This paper develops an analytical solution for fractional distributed order reaction-diffusion equations using Laplace-Sumudu transform, advancing methods in fractional calculus.

## Contribution

It introduces a novel approach combining Laplace and Sumudu transforms to solve fractional distributed order reaction-diffusion systems.

## Key findings

- Analytical solutions derived for fractional distributed order reaction-diffusion equations.
- Effective application of Laplace-Sumudu transform method.
- Contributes to analytical techniques in fractional calculus.

## Abstract

The solution of some fractional differential equations is the hottest topic in fractional calculus field. The fractional distributed order reaction-diffusion equation is the aim of this paper. By applying integral transform to solve this type of fractional differential equations, we have obtained the analytical solution by using Laplace-Sumudu transform.