Analysis of Keller-Segel Model With Atangana-Baleanu Fractional Derivative
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Celik, Ercan | |
| dc.contributor.author | Dokuyucu, Mustafa Ali | |
| 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 | 2020-04-12T16:55:16Z | |
| dc.date.accessioned | 2025-09-18T12:05:44Z | |
| dc.date.available | 2020-04-12T16:55:16Z | |
| dc.date.available | 2025-09-18T12:05:44Z | |
| dc.date.issued | 2018 | |
| dc.description | Celik, Ercan/0000-0001-5971-7653 | en_US |
| dc.description.abstract | The new definition of the fractional derivative was defined by Atangana and Baleanu in 2016. They used the generalized Mittag-Leffler function with the non-singular and non-local kernel. Further, their version provides all properties of fractional derivatives. Our aim is to analyse the Keller-Segel model with Caputo and Atangana-Baleanu fractional derivative in Caputo sense. Using fixed point theory, we first show the existence of coupled solutions. We then examine the uniqueness of these solutions. Finally, we compare our results numerically by modifying our model according to both definitions, and we demonstrate these results on the graphs in detail. All computations were done using Mathematica. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Dokuyucu, Mustafa Ali; Celik, Ercan, "Analysis of Keller-Segel Model with Atangana-Baleanu Fractional Derivative", Filomat, 32, No. 16, pp. 5633-5643, (2018). | en_US |
| dc.identifier.doi | 10.2298/FIL1816633D | |
| dc.identifier.issn | 0354-5180 | |
| dc.identifier.scopus | 2-s2.0-85061356562 | |
| dc.identifier.uri | https://doi.org/10.2298/FIL1816633D | |
| dc.identifier.uri | https://hdl.handle.net/123456789/10710 | |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Nis, Fac Sci Math | en_US |
| dc.relation.ispartof | 2nd International Conference on Advances in Natural and Applied Sciences (ICANAS) -- APR 18-21, 2017 -- Antalya, TURKEY | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Keller-Segel Model | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.subject | Riemann-Liouville Derivative | en_US |
| dc.subject | Atangana-Baleanu Derivative | en_US |
| dc.subject | Numerical Approximation | en_US |
| dc.title | Analysis of Keller-Segel Model With Atangana-Baleanu Fractional Derivative | en_US |
| dc.title | Analysis of Keller-Segel Model with Atangana-Baleanu Fractional Derivative | tr_TR |
| dc.type | Conference Object | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Celik, Ercan/0000-0001-5971-7653 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 57190940164 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 56220030700 | |
| gdc.author.wosid | Çelik, Ercan/Abi-3638-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Dokuyucu, Mustafa Ali/Aan-9421-2020 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Dokuyucu, Mustafa Ali] Ibrahim Cecen Univ Agri, Fac Sci & Arts, Dept Math, Agri, Turkey; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Celik, Ercan] Ataturk Univ, Dept Math, Fac Sci, Erzurum, Turkey | en_US |
| gdc.description.endpage | 5643 | en_US |
| gdc.description.issue | 16 | en_US |
| gdc.description.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 5633 | en_US |
| gdc.description.volume | 32 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded - Conference Proceedings Citation Index - Science | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W2941142317 | |
| gdc.identifier.wos | WOS:000461184700013 | |
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| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 32 | |
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| gdc.scopus.citedcount | 46 | |
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