Invariant subspace method: a tool for solving fractional partial differential equations

TL;DR

This paper applies the invariant subspace method to solve linear and nonlinear fractional partial differential equations with Caputo derivatives, demonstrating its effectiveness through various examples.

Contribution

It introduces the invariant subspace method as a new tool for solving fractional PDEs involving Caputo derivatives.

Findings

Effective solution technique demonstrated on multiple examples

Applicable to both linear and nonlinear fractional PDEs

Shows potential for broader use in fractional calculus

Abstract

In this paper invariant subspace method has been employed for solving linear and non-linear fractional partial differential equations involving Caputo derivative. A variety of illustrative examples are solved to demonstrate the effectiveness and applicability of the method.