Exact solutions of fractional partial differential equations by Sumudu transform iterative method

TL;DR

This paper extends the Sumudu transform iterative method to efficiently find exact solutions for various fractional partial differential equations, enhancing analytical tools for complex FPDEs.

Contribution

The paper introduces an extended Sumudu transform iterative method capable of solving a wide range of time and space FPDEs and their systems.

Findings

Successfully finds exact solutions for multiple FPDEs.

Demonstrates the method's applicability to different types of FPDEs.

Provides a new analytical approach for fractional differential equations.

Abstract

Developing analytical methods for solving fractional partial differential equations (FPDEs) is an active area of research. Especially finding exact solutions of FPDEs is a challenging task. In the present paper we extend Sumudu transform iterative method (STIM) to solve a variety of time and space FPDEs as well as systems of them. We demonstrate the utility of the method by finding exact solutions to a large number of FPDEs.