Invariant subspaces and exact solutions for some types of scalar and coupled time-space fractional diffusion equations
Abstract
We explain how the invariant subspace method can be extended to a scalar and coupled system of time-space fractional partial differential equations. The effectiveness and applicability of the method have been illustrated through time-space (i) fractional diffusion-convection equation, (ii) fractional reaction-diffusion equation, (iii) fractional diffusion equation with source term, (iv) two-coupled system of the fractional diffusion equation, (v) two-coupled system of fractional stationary transonic plane-parallel gas flow equation and (vi) three-coupled system of fractional Hirota-Satsuma KdV equation. Also, we explicitly presented how to derive more than one exact solution of the equations as mentioned above using the invariant subspace method.
Keywords
Cite
@article{arxiv.1911.10408,
title = {Invariant subspaces and exact solutions for some types of scalar and coupled time-space fractional diffusion equations},
author = {P Prakash},
journal= {arXiv preprint arXiv:1911.10408},
year = {2020}
}