On the Nonlinear Perturbation K(N, M) Rosenau-Hyman Equation: a Model of Nonlinear Scattering Wave
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Al Qurashi, Maysaa' Mohamed | |
| dc.contributor.author | Yang, Xiao-Jun | |
| dc.contributor.author | Atangana, Abdon | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2020-05-02T15:42:53Z | |
| dc.date.accessioned | 2025-09-18T16:07:13Z | |
| dc.date.available | 2020-05-02T15:42:53Z | |
| dc.date.available | 2025-09-18T16:07:13Z | |
| dc.date.issued | 2015 | |
| dc.description | Yang, Xiao-Jun/0000-0003-0009-4599 | en_US |
| dc.description.abstract | We investigate a nonlinear wave phenomenon described by the perturbation K(m, n) 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. | en_US |
| dc.description.sponsorship | Research Center of the Center for Female Scientific and Medical Colleges, Deanship of Scientific Research, King Saud University; Visiting Professor Program at King Saud University | en_US |
| dc.description.sponsorship | This research project was supported by a grant from the "Research Center of the Center for Female Scientific and Medical Colleges," Deanship of Scientific Research, King Saud University. The authors are thankful to Visiting Professor Program at King Saud University for support. | en_US |
| dc.identifier.doi | 10.1155/2015/746327 | |
| dc.identifier.issn | 1687-9120 | |
| dc.identifier.issn | 1687-9139 | |
| dc.identifier.scopus | 2-s2.0-84953931347 | |
| dc.identifier.uri | https://doi.org/10.1155/2015/746327 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14705 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Ltd | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | On the Nonlinear Perturbation K(N, M) Rosenau-Hyman Equation: a Model of Nonlinear Scattering Wave | en_US |
| dc.title | On the Nonlinear Perturbation K(n, m) Rosenau-Hyman Equation: A Model of Nonlinear Scattering Wave | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Yang, Xiao-Jun/0000-0003-0009-4599 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 55659450400 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 57045880100 | |
| gdc.author.scopusid | 37006104500 | |
| gdc.author.wosid | Atangana, Abdon/Aae-4779-2021 | |
| gdc.author.wosid | Yang, Xiao-Jun/E-8311-2011 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Atangana, Abdon] Univ Orange Free State, Fac Nat & Agr Sci, Inst Groundwater Studies, ZA-9300 Bloemfontein, South Africa; [Baleanu, Dumitru] Inst Space Sci, Bucharest 077125, Romania; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Al Qurashi, Maysaa' Mohamed] King Saud Univ, Dept Math, Riyadh 11495, Saudi Arabia; [Yang, Xiao-Jun] China Univ Min & Technol, Dept Math & Mech, Xuzhou 221008, Jiangsu, Peoples R China | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.volume | 2015 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W2195036802 | |
| gdc.identifier.wos | WOS:000367244600001 | |
| gdc.openalex.fwci | 0.23271729 | |
| gdc.openalex.normalizedpercentile | 0.64 | |
| gdc.opencitations.count | 2 | |
| gdc.plumx.mendeley | 5 | |
| gdc.plumx.scopuscites | 2 | |
| gdc.scopus.citedcount | 2 | |
| gdc.wos.citedcount | 2 | |
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