Dynamics of Integer-Fractional Time-Derivative for the New Two-Mode Kuramoto-Sivashinsky Model
| dc.contributor.author | Ali, Mohammed | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Alquran, Marwan | |
| dc.contributor.author | Jaradat, Imad | |
| dc.contributor.author | Abu Afouna, Nour | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2025-09-23T12:51:06Z | |
| dc.date.available | 2025-09-23T12:51:06Z | |
| dc.date.issued | 2020 | |
| dc.description | Alquran, Marwan/0000-0003-3901-9270; Abu Afouna, Nour Hamad/0000-0002-1944-3069 | en_US |
| dc.description.abstract | In this paper, we investigate the dynamics of a nonlinear model responsible for the transition of turbulence phenomena and cellular instabilities to a chaos. The two-mode Kuramoto-Sivashinsky (TMKS) model is an example of such application. We study both integer and fractional time-derivative involved in this model. Solitary wave solutions and approximate analytical solutions will be derived to TMKS model by means of well-posed different techniques. The mechanism of the concepts of two-mode and time-fractional derivative will be discussed in this work. Finally, both 2-dimensional and 3-dimensional plots will be provided to support our findings. | en_US |
| dc.identifier.citation | Ali, Mohammed ...et al. (2020). "DYNAMICS OF INTEGER-FRACTIONAL TIME-DERIVATIVE FOR THE NEW TWO-MODE KURAMOTO-SIVASHINSKY MODEL", Romanian Reports in Physics, Vol. 72, No. 1. | en_US |
| dc.identifier.issn | 1221-1451 | |
| dc.identifier.issn | 1841-8759 | |
| dc.identifier.scopus | 2-s2.0-85081207610 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15599 | |
| dc.language.iso | en | en_US |
| dc.publisher | Editura Acad Romane | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Two-Mode Kuramoto-Sivashinsky (Tmks) Model | en_US |
| dc.subject | Kudryashov-Expansion Method | en_US |
| dc.subject | Time-Fractional Tmks | en_US |
| dc.subject | Maclaurin Series | en_US |
| dc.title | Dynamics of Integer-Fractional Time-Derivative for the New Two-Mode Kuramoto-Sivashinsky Model | en_US |
| dc.title | DYNAMICS OF INTEGER-FRACTIONAL TIME-DERIVATIVE FOR THE NEW TWO-MODE KURAMOTO-SIVASHINSKY MODEL | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Alquran, Marwan/0000-0003-3901-9270 | |
| gdc.author.id | Abu Afouna, Nour Hamad/0000-0002-1944-3069 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 57217604162 | |
| gdc.author.scopusid | 36679871400 | |
| gdc.author.scopusid | 57189531571 | |
| gdc.author.scopusid | 57215579187 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Jaradat, Imad/Gpk-2701-2022 | |
| gdc.author.wosid | Alquran, Marwan/Iup-3798-2023 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ali, Mohammed; Alquran, Marwan; Jaradat, Imad] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid 22110, Jordan; [Abu Afouna, Nour] Imam Abdulrahman Bin Faisal Univ, Dept Basic Sci, Preparatory Year & Supporting Studies, POB 1982, Dammam 31441, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 72 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.wos | WOS:000519541700003 | |
| gdc.scopus.citedcount | 24 | |
| gdc.wos.citedcount | 21 | |
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