11th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Greece, 21 - 27 September 2013, vol.1558, pp.1919-1922
In this paper, the modified trial equation method is applied to obtain analytical solutions of the time-fractional Fitzhugh-Nagumo equation. The fractional partial differential equations are defined by modified Riemann-Liouville fractional derivative. With the help of fractional derivative and traveling wave transformation, these equations can be converted into the nonlinear non-fractional ordinary differential equations. Exact solutions of the time-fractional Fitzhugh-Nagumo equation have been obtained through the proposed method. The acquired results are demoted to the rational function solutions, hyperbolic function solution and periodic solutions.