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1 Journal of Applied Mathematics and Computational Mechanics

1 2018

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Group invariant solution of some time fractional evolution equations

Mandal H., Bira B.

Journal of Applied Mathematics and Computational Mechanics

2018

Vol. 17, nr 4

35--46

In this paper, we consider some classes of a system of nonlinear fractional differential equations (FDEs) arising in some important physical phenomena. Using symmetry group of transformations, the given systems of fractional partial differential equations (FPDEs) are reduced to systems of fractional ordinary differential equations (FODEs). Further, using the group invariant condition, we solve the reduced systems of FODEs and exact solutions of the given equations are constructed. Finally, the physical significance of the solutions are investigated graphically based on the exact solutions in order to highlight the importance of the study.