Rational exponential solutions of conformable space-time fractional equal-width equations

Abstract

In 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 the exp a function 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.

Keywords

• space-time fractional equal-width equations
• conformable derivatives
• exp a function approach
• rational exponential solutions