The (G′/G)-expansion method with the aid of symbolic computational systems can be used to obtain the traveling wave solutions (hyperbolic, trigonometric, and rational solutions) for nonlinear time-fractional evolution equations arising in mathematical physics and biology. In this work, we will process the analytical solutions of the time-fractional classical Boussinesq equation, the time-fractional Murray equation, and the space-time fractional Phi-four equation. With the fact that the method proposed in this paper is a standard, direct, and computerized method, the exact solutions for these equations are obtained.