Approximate Solutions for A Fractional Shallow Water Flow Model

Yıl 2023, , 65 - 75, 20.11.2023

Hira Tarıq , Hadi Rezazadeh , Mehmet Şenol , Orkun Taşbozan , Ali Kurt

https://doi.org/10.54286/ikjm.1256664

Öz

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.

Anahtar Kelimeler

Conformable Calculus, Residual Power Series Method, Drinfeld-Sokolov-Wilson Equation, Shallow water waves

Kaynakça

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