Solving systems of multi-term fractional PDEs: Invariant subspace approach

TL;DR

This paper extends the invariant subspace method to solve complex systems of multi-term fractional PDEs involving time and space derivatives, including multi-dimensional cases, demonstrated through various examples.

Contribution

The paper introduces an extended invariant subspace approach for solving multi-term fractional PDE systems in multiple dimensions, which was not previously available.

Findings

Successfully solves diverse multi-term fractional PDE examples

Demonstrates effectiveness of the extended method in multi-dimensional cases

Provides a new analytical tool for fractional PDEs

Abstract

In the present paper invariant subspace method has been extended for solving systems of multi-term fractional partial differential equations (FPDEs) involving both time and space fractional derivatives. Further the method has also been employed for solving multi-term fractional PDEs in $(1+n)$ dimensions. A diverse set of examples is solved to illustrate the method.