Studying Heat Conduction in a Sphere Considering Hybrid Fractional Derivative Operator
| dc.contributor.author | Latif, Mohamed S. Abdel | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Kader, Abass H. Abdel | |
| dc.date.accessioned | 2024-04-25T07:34:13Z | |
| dc.date.accessioned | 2025-09-18T12:04:59Z | |
| dc.date.available | 2024-04-25T07:34:13Z | |
| dc.date.available | 2025-09-18T12:04:59Z | |
| dc.date.issued | 2022 | |
| dc.description | Abdel Kader, Abass/0000-0002-9658-1430 | en_US |
| dc.description.abstract | In this paper, the fractional heat equation in a sphere with hybrid fractional derivative operator is investigated. The heat conduction is considered in the case of central symmetry with heat absorption. The closed form solution in the form of three parameter Mittag-Leffler function is obtained for two Dirichlet boundary value problems. The joint finite sine Fourier-Laplace transform is used for solving these two problems. The dynamics of the heat transfer in the sphere is illustrated through some numerical examples and figures. | en_US |
| dc.identifier.citation | Kader, Abass H. Abdel; Latif, Mohamed. S. Abdel; Baleanu, D. (2022). "Studying Heat Conduction In A Sphere Considering Hybrid Fractional Derivative Operator", Thermal Science, Vol.26, No.2, pp.1675-1683. | en_US |
| dc.identifier.doi | 10.2298/TSCI200524332K | |
| dc.identifier.issn | 0354-9836 | |
| dc.identifier.issn | 2334-7163 | |
| dc.identifier.scopus | 2-s2.0-85131103650 | |
| dc.identifier.uri | https://doi.org/10.2298/TSCI200524332K | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10475 | |
| dc.language.iso | en | en_US |
| dc.publisher | Vinca inst Nuclear Sci | en_US |
| dc.relation.ispartof | Thermal Science | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Heat Conduction With Absorption | en_US |
| dc.subject | Hybrid Fractional Derivative Operator | en_US |
| dc.subject | Three Parameter Mittag-Leffler Function | en_US |
| dc.subject | Finite Fourier Transform | en_US |
| dc.subject | Laplace Transform | en_US |
| dc.title | Studying Heat Conduction in a Sphere Considering Hybrid Fractional Derivative Operator | en_US |
| dc.title | Studying Heat Conduction In A Sphere Considering Hybrid Fractional Derivative Operator | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdel Kader, Abass/0000-0002-9658-1430 | |
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| gdc.author.wosid | Latif, Mohamed/S-6583-2017 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Abdel Kader, Abass/G-3875-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kader, Abass H. Abdel; Latif, Mohamed S. Abdel] Mansoura Univ, Fac Engn, Math & Engn Phys Dept, Mansoura, Egypt; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 1683 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 1675 | en_US |
| gdc.description.volume | 26 | en_US |
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