Solutions of Time Fractional fKdV Equation Using the Residual Power Series Method

Cumhuriyet Science Journal

article

Sevil ÇULHA ÜNAL¹ 

[1] SULEYMAN DEMIREL UNIVERSITY

关键词: Fractional partial differential equation;    Fifth-order Korteweg-de Vries equation;    Residual power series method;    Caputo derivative;    Approximate solutions.;   

DOI  :  10.17776/csj.1087721

学科分类：工程和技术（综合）

来源: Cumhuriyet University

【 摘 要 】

The fifth-order Korteweg-de Vries (fKdV) equation is a nonlinear model in various long wave physical phenomena. The residual power series method (RPSM) is used to gain the approximate solutions of the time fractional fKdV equation in this study. Basic definitions of fractional derivatives are described in the Caputo sense. The solutions of the time fractional fKdV equation with easily computable components are calculated as a quick convergent series. When compared to exact solutions, the RPSM provides good accuracy for approximate solutions. The reliability of the proposed method is also illustrated with the aid of table and graphs. Cleary observed from the results that the suggested method is suitable and simple for similar type of the time fractional nonlinear differential equations.

【 授权许可】

CC BY-NC-ND