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Invariant subspaces and exact solutions for a system of fractional PDEs in higher dimensions

Publication Type : Journal Article

Publisher : Comp. Appl. Math

Source : Comp. Appl. Math. 38, 126 (2019).

Url : https://link.springer.com/article/10.1007/s40314-019-0879-4#citeas

Campus : Coimbatore

School : School of Engineering

Department : Mathematics

Year : 2019

Abstract : In this article, we develop an invariant subspace method for a system of time-fractional nonlinear partial differential equations in (1+2) dimensions. Efficacy of the method is demonstrated by solving coupled system of nonlinear time-fractional diffusion equations and coupled system of time-fractional Burger’s equations in higher dimensions. Furthermore, the algorithmic approach to find more than one invariant subspace is proposed and corresponding exact solutions are constructed.

Cite this Research Publication : Choudhary, S., Prakash, P. & Daftardar-Gejji, V. Invariant subspaces and exact solutions for a system of fractional PDEs in higher dimensions. Comp. Appl. Math. 38, 126 (2019). https://doi.org/10.1007/s40314-019-0879-4

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