Relations Between Fractional Models With Three-Parameter Mittag-Leffler Kernels
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Fernandez, Arran | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.date.accessioned | 2021-01-28T12:20:26Z | |
| dc.date.accessioned | 2025-09-18T12:47:50Z | |
| dc.date.available | 2021-01-28T12:20:26Z | |
| dc.date.available | 2025-09-18T12:47:50Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | We consider two models of fractional calculus which are defined using three-parameter Mittag-Leffler functions: the Prabhakar definition and a recently defined extension of the Atangana-Baleanu definition. By examining the relationships between the two, we are able to find some new properties of both, as well as of the original Atangana-Baleanu model and its iterated form. | en_US |
| dc.description.sponsorship | Prince Sultan University [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The second author would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17. | en_US |
| dc.identifier.citation | Fernandez, Arran; Abdeljawad, Thabet; Baleanu, Dumitru (2020). "Relations between fractional models with three-parameter Mittag-Leffler kernels", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02638-5 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85084001613 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02638-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11904 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Mittag-Leffler Functions | en_US |
| dc.subject | Atangana-Baleanu Fractional Calculus | en_US |
| dc.subject | Prabhakar Fractional Calculus | en_US |
| dc.title | Relations Between Fractional Models With Three-Parameter Mittag-Leffler Kernels | en_US |
| dc.title | Relations between fractional models with three-parameter Mittag-Leffler kernels | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Fernandez, Arran/E-7134-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Fernandez, Arran] Eastern Mediterranean Univ, Fac Arts & Sci, Dept Math, Via Mersin 10, Famagusta, Northern Cyprus, Turkey; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2020 | en_US |
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| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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| gdc.oaire.keywords | Mittag-Leffler functions | |
| gdc.oaire.keywords | Mathematics | |
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| gdc.oaire.keywords | Atangana–Baleanu fractional calculus | |
| gdc.oaire.keywords | Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) | |
| gdc.oaire.keywords | Atangana-Baleanu fractional calculus | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | fractional calculus | |
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| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.virtual.author | Abdeljawad, Thabet | |
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