Existence Results for Langevin Equation Involving Atangana-Baleanu Fractional Operators
| dc.contributor.author | Darzi, Rahmat | |
| dc.contributor.author | Agheli, Bahram | |
| dc.contributor.author | Baleanu, Dumitru | |
| 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 | 2021-01-29T11:15:20Z | |
| dc.date.accessioned | 2025-09-18T12:48:30Z | |
| dc.date.available | 2021-01-29T11:15:20Z | |
| dc.date.available | 2025-09-18T12:48:30Z | |
| dc.date.issued | 2020 | |
| dc.description | Agheli, Bahram/0000-0003-2084-4158 | en_US |
| dc.description.abstract | A new form of nonlinear Langevin equation (NLE), featuring two derivatives of non-integer orders, is studied in this research. An existence conclusion due to the nonlinear alternative of Leray-Schauder type (LSN) for the solution is offered first and, following that, the uniqueness of solution using Banach contraction principle (BCP) is demonstrated. Eventually, the derivatives of non-integer orders are elaborated in Atangana-Baleanu sense. | en_US |
| dc.description.publishedMonth | 3 | |
| dc.identifier.citation | Baleanu, Dumitru; Darzi, Rahmat; Agheli, Bahram (2020). "Existence Results for Langevin Equation Involving Atangana-Baleanu Fractional Operators", Mathematics, Vol. 8, No. 3. | en_US |
| dc.identifier.doi | 10.3390/math8030408 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.scopus | 2-s2.0-85082407916 | |
| dc.identifier.uri | https://doi.org/10.3390/math8030408 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/12079 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Atangana-Baleanu Fractional Derivative | en_US |
| dc.subject | Langevin Equation | en_US |
| dc.subject | Leray-Schauder Nonlinear | en_US |
| dc.subject | Existence Results | en_US |
| dc.subject | 26A33 | en_US |
| dc.subject | 47E05 | en_US |
| dc.title | Existence Results for Langevin Equation Involving Atangana-Baleanu Fractional Operators | en_US |
| dc.title | Existence Results for Langevin Equation Involving Atangana-Baleanu Fractional Operators | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Agheli, Bahram/0000-0003-2084-4158 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 26040572700 | |
| gdc.author.scopusid | 56035567800 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Agheli, Bahram/R-3610-2019 | |
| gdc.author.wosid | Darzi, Rahmat/Aan-9923-2021 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Baleanu, Dumitru] China Med Univ, Dept Med Res, Taichung 40447, Taiwan; [Darzi, Rahmat] Islamic Azad Univ, Dept Math, Neka Branch, Neka, Iran; [Agheli, Bahram] Islamic Azad Univ, Dept Math, Qaemshahr Branch, Qaemshahr, Iran | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 8 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W3011695741 | |
| gdc.identifier.wos | WOS:000524085900107 | |
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| gdc.openalex.normalizedpercentile | 0.59 | |
| gdc.opencitations.count | 6 | |
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| gdc.plumx.mendeley | 2 | |
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