EXACT SOLUTIONS FOR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS BY PROJECTIVE RICCATI EQUATION METHOD

In this paper, the projective Riccati equation method is applied to find exact solutions for fractional partial differential equations in the sense of modified Riemann-Liouville derivative. Based on a nonlinear fractional complex transformation, a certain fractional partial differential equation can be turned into another ordinary differential equation of integer order. For illustrating the validity of this method, we apply it to solve the space-time fractional Whitham-Broer-Kaup (WBK) equations and the time fractional Sharma-Tasso-Olever (STO) equation, and as a result, some new exact solutions for them are established.