A new analysis of fractional Drinfeld-Sokolov-Wilson model with exponential memory

The key purpose of this study is to suggest a new fractional extension of nonlinear Drinfeld-Sokolov-Wilson (DSW) equation with exponential memory. The nonlinear DSW equation plays a great role in describing dispersive water waves. The stability analysis is executed with the aid of fixed point theory. The advantage of FHATM over the other existing techniques is that its solution contains an auxiliary parameter h, which plays a big role in controlling the convergence of the solution. The outcomes of the study are presented in the form of graphs and tables. The results achieved by the use of the suggested scheme unfold that the used computational algorithm is very accurate, flexible, effective and simple to perform to examine the fractional order mathematical models. (C) 2019 Published by Elsevier B.V.