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

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.

References in corpus (1)

• Analytic solution of nonlinear fractional Burgers-type equation by invariant subspace method

Cited by in corpus (7)

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• Solving systems of multi-term fractional PDEs: Invariant subspace approach
• Invariant subspace method for (m + 1)-dimensional non-linear time-fractional partial differential equations
• Initial value problem for the two-dimensional time-fractional generalized convection-reaction-diffusion-wave equation: Invariant subspaces and exact solutions
• Invariant subspace method to the initial and boundary value problem of the higher dimensional nonlinear time-fractional PDEs
• Invariant subspaces and exact solutions for some types of scalar and coupled time-space fractional diffusion equations
• Nonlinear two-component system of time-fractional PDEs in (2+1)-dimensions: Invariant subspace method combined with variable transformation