Approximate Solutions for A Fractional Shallow Water Flow Model

Abstract

This paper presents the solutions of fractional Drinfeld-Sokolov-Wilson (DSW) equations
 that occur in shallow water flow models using the residual power series method.
 The fractional derivatives and integrals are considered in the conformable sense. In
 addition, surface plots of the solutions are given. The solutions and results show that
 the present method is very efficient and effective due to the lack of a need for complex
 calculations and that the method also has a wide range of practicability in the resolution
 of partial differential fractional equations.