Analytical solutions for the fractional Fisher's equation

Authors

A. Mojaver Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.

H. Kheiri Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.

S. Shahi Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.

Abstract:

In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems. Then we use the separation variables method to solve obtained problems. In examples, we illustrate that by right choice of source term in the modified Homotopy perturbation method, it is possible to get an exact solution.

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