New Fractional Derivatives With Non-Singular Kernel Applied To the Burgers Equation
| dc.contributor.author | Atangana, Abdon | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Saad, Khaled M. | |
| 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 | 2020-03-28T21:08:59Z | |
| dc.date.accessioned | 2025-09-18T15:44:04Z | |
| dc.date.available | 2020-03-28T21:08:59Z | |
| dc.date.available | 2025-09-18T15:44:04Z | |
| dc.date.issued | 2018 | |
| dc.description | Atangana, Abdon/0000-0002-1886-3125; , Khaled/0000-0001-6381-6806 | en_US |
| dc.description.abstract | In this paper, we extend the model of the Burgers (B) to the new model of time fractional Burgers (TFB) based on Liouville-Caputo (LC), Caputo-Fabrizio (CF), and Mittag-Leffler (ML) fractional time derivatives, respectively. We utilize the Homotopy Analysis Transform Method (HATM) to compute the approximate solutions of TFB using LC, CF, and ML in the Liouville-Caputo sense. We study the convergence analysis of HATM by computing the interval of the convergence, the residual error function (REF), and the average residual error (ARE), respectively. The results are very effective and accurate. Published by AIP Publishing. | en_US |
| dc.description.publishedMonth | 6 | |
| dc.identifier.citation | Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru, "New fractional derivatives with non-singular kernel applied to the Burgers equation", Chaos, Vol, 28, No. 6, (2018) | en_US |
| dc.identifier.doi | 10.1063/1.5026284 | |
| dc.identifier.issn | 1054-1500 | |
| dc.identifier.issn | 1089-7682 | |
| dc.identifier.scopus | 2-s2.0-85048326072 | |
| dc.identifier.uri | https://doi.org/10.1063/1.5026284 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14139 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Physics | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | New Fractional Derivatives With Non-Singular Kernel Applied To the Burgers Equation | en_US |
| dc.title | New Fractional Derivatives With Non-Singular Kernel Applied to the Burgers Equation | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Atangana, Abdon/0000-0002-1886-3125 | |
| gdc.author.id | , Khaled/0000-0001-6381-6806 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 36840571200 | |
| gdc.author.scopusid | 55659450400 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Saad, Khaled/Aap-9543-2020 | |
| gdc.author.wosid | Atangana, Abdon/Aae-4779-2021 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Saad, Khaled M.] Najran Univ, Dept Math, Coll Arts & Sci, Najran 55461, Saudi Arabia; [Saad, Khaled M.] Taiz Univ, Fac Sci Appl, Dept Math, Taizi, Yemen; [Atangana, Abdon] Univ Free State, Inst Groundwater Studies, Fac Nat & Agr Sci, ZA-9300 Bloemfontein, South Africa; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Fac Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 28 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2806475481 | |
| gdc.identifier.pmid | 29960411 | |
| gdc.identifier.wos | WOS:000436867700015 | |
| gdc.openalex.fwci | 11.20122764 | |
| gdc.openalex.normalizedpercentile | 0.99 | |
| gdc.openalex.toppercent | TOP 1% | |
| gdc.opencitations.count | 109 | |
| gdc.plumx.crossrefcites | 92 | |
| gdc.plumx.mendeley | 14 | |
| gdc.plumx.scopuscites | 130 | |
| gdc.scopus.citedcount | 130 | |
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