An effective technique for the conformable space-time fractional EW and modified EW equations

Abstract

The current work deals with the fractional forms of EW and modified EW equations in the conformable sense and their exact solutions. In this respect, by utilizing a traveling wave transformation, the governing space-time fractional models are converted to the nonlinear ordinary differential equations (NLODEs); and then, the resulting NLODEs are solved through an effective method called the exp(−ϕ(ϵ))-expansion method. As a consequence, a number of exact solutions to the fractional forms of EW and modified EW equations are generated.

Keywords

• Fractional forms of EW and modified EW equations
• Conformable sense
• exp(−ϕ(ϵ))-expansion method
• Exact solutions