文章基本信息

标题：On the Nonlinear Perturbation Rosenau-Hyman Equation: A Model of Nonlinear Scattering Wave
本地全文：下载
作者：Abdon Atangana ; Dumitru Baleanu ; Maysaa’ Mohamed Al Qurashi 等
期刊名称：Advances in Mathematical Physics
印刷版ISSN：1687-9120
电子版ISSN：1687-9139
出版年度：2015
卷号：2015
DOI：10.1155/2015/746327
出版社：Hindawi Publishing Corporation
摘要：We investigate a nonlinear wave phenomenon described by the perturbation Rosenau-Hyman equation within the concept of derivative with fractional order. We used the Caputo fractional derivative and we proposed an iteration method in order to find a particular solution of the extended perturbation equation. We proved the stability and the convergence of the suggested method for solving the extended equation without any restriction on and also on the perturbations terms. Using the inner product we proved the uniqueness of the special solution. By choosing randomly the fractional orders and , we presented the numerical solutions.