The Exp-function method for solving nonlinear space-time fractional differential equations in mathematical physics

Using the Exp-function method, we derive exact solutions of the nonlinear space-time fractional Telegraph equation and space-time fractional KPP equation. As a result, we obtain many exact analytical solutions including hyperbolic function. The fractional derivative is described in Jumarie's modified Riemann-Liouville sense. This method is very effective and convenient for solving nonlinear fractional differential equations.