Approximate Solutions for A Fractional Shallow Water Flow Model

Authors : Hira Tariq, Hadi Rezazadeh, Mehmet Şenol, Orkun Taşbozan, Ali Kurt

Pages : 65-75

Doi:10.54286/ikjm.1256664

View : 86 | Download : 88

Publication Date : 2023-11-20

Article Type : Research Paper

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.
Keywords : Conformable Calculus, Residual Power Series Method, Drinfeld Sokolov Wilson Equation, Shallow water waves