Analytical Solutions to the Fractional Fisher Equation by Applying the Fractional Sub-equation Method

The fractional sub-equation method is proposed to construct analytical solutions of nonlinear fractional partial differential equations (FPDEs), involving Jumarie’s modified Riemann-Liouville derivative. The fractional sub-equation method is applied to the fractional Fisher equation. The analytical solutions show that the fractional sub-equation method is very effective for the analytical solutions of the Fisher equation. The fractional sub-equation method introduces a promising tool for solving many fractional partial differential equations.