Analytical and Numerical Solutions for Time-Fractional New Coupled Mkdv Equation Arising in Interaction of Two Long Waves
| dc.contributor.author | Şenol, M. | |
| dc.contributor.author | Kurt, A. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Tasbozan, O. | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | 06.04. Endüstri Mühendisliği | |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 06. Mühendislik Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.contributor.other | 09. Rektörlük | |
| dc.contributor.other | 09.02. Yabancı Diller Bölümü | |
| dc.date.accessioned | 2024-02-29T12:03:32Z | |
| dc.date.accessioned | 2025-09-18T14:09:13Z | |
| dc.date.available | 2024-02-29T12:03:32Z | |
| dc.date.available | 2025-09-18T14:09:13Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | The aim of this paper is to present new exact solution sets of nonlinear conformable time-fractional new coupled mKdV equations which arise in interaction of two long waves with different dispersion relations by means of sub-equation method. In addition, we also propose an analytical-approximate method namely residual power series method (RPSM) for the system. The fractional derivatives have been explained in newly defined conformable type, during the solution procedure. The exact solutions of the system obtained by the sub-equation method have been compared to approximate solutions derived by RPSM. The results showed that both methods are robust, dependable, easy to apply and a good alternative for seeking solutions of fractional partial differential equations. © 2019 Asia Pacific Journal of Mathematics. | en_US |
| dc.identifier.citation | Tasbozan, O.;...et.al. (2019). "Analytıcal And Numerıcal Solutıons For Tıme-Fractıonal New Coupled Mkdv Equatıon Arısıng In Interactıon Of Two Long Waves", Asia Pacific Journal of Mathematics, Vol.6. | en_US |
| dc.identifier.doi | 10.28924/APJM/6-13 | |
| dc.identifier.issn | 2357-2205 | |
| dc.identifier.scopus | 2-s2.0-85098219803 | |
| dc.identifier.uri | https://doi.org/10.28924/APJM/6-13 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13318 | |
| dc.language.iso | en | en_US |
| dc.publisher | Asia Pacific Academic | en_US |
| dc.relation.ispartof | Asia Pacific Journal of Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Conformable Fractional Derivative | en_US |
| dc.subject | New Coupled Mkdv Equation | en_US |
| dc.subject | Residual Power Series Method | en_US |
| dc.subject | Sub-Equation Method | en_US |
| dc.title | Analytical and Numerical Solutions for Time-Fractional New Coupled Mkdv Equation Arising in Interaction of Two Long Waves | en_US |
| dc.title | Analytıcal And Numerıcal Solutıons For Tıme-Fractıonal New Coupled Mkdv Equatıon Arısıng In Interactıon Of Two Long Waves | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Kurt, Atıl | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.institutional | Kurt, Ayyüce | |
| gdc.author.scopusid | 36905749100 | |
| gdc.author.scopusid | 55757060900 | |
| gdc.author.scopusid | 56513462000 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Tasbozan O., Department of Mathematics, Faculty of Science and Art, Mustafa Kemal University, Hatay, Turkey; Şenol M., Department of Mathematics, Faculty of Science and Art, Nevşehir University, Nevşehir, Turkey; Kurt A., Department of Mathematics, Faculty of Science and Art, Pamukkale University, Denizli, Turkey; Baleanu D., Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, Ankara, Turkey, Institute of Space Sciences, Magurele-Bucharest, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q4 | |
| gdc.description.volume | 6 | en_US |
| gdc.identifier.openalex | W4232796291 | |
| gdc.openalex.fwci | 0.15635395 | |
| gdc.openalex.normalizedpercentile | 0.54 | |
| gdc.opencitations.count | 1 | |
| gdc.plumx.mendeley | 1 | |
| gdc.plumx.scopuscites | 1 | |
| gdc.scopus.citedcount | 1 | |
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