On the Nonlinear Perturbation K(n, m) Rosenau‐Hyman Equation: A Model of Nonlinear Scattering Wave

Abdon Atangana, Dumitru Baleanu, Maysaa’ Mohamed Al Qurashi and Xiao-Jun Yang

Advances in Mathematical Physics, 2015, vol. 2015, issue 1

Abstract: We investigate a nonlinear wave phenomenon described by the perturbation K(n, m) 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 (m, n) 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 m, we presented the numerical solutions.

Date: 2015
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2015/746327

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:746327

Access Statistics for this article

More articles in Advances in Mathematical Physics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().