AbstractIn this paper, the rational exponential solutions of two space-time fractional equal-width (FEW) equations are explored in the conformable derivative sense. The way to reach explicit exact solutions is to transform the fractional order PDEs into a nonlinear ODEs of discrete order through some properties of conformable derivatives and a fractional complex transforms. The subsequent equations have been elucidated by employing theexpafunction approach. Some new exact solutions of the said equations are effectively formulated and graphically conveyed with the aid of symbolic computation in Mathematica and MATLAB respectively.