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Publication Type : Journal Article
Publisher : Comp. Appl. Math
Source : Comp. Appl. Math. 38, 126 (2019).
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