Discrete Fractional Differences With Nonsingular Discrete Mittag-Leffler Kernels
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2017-04-24T08:17:58Z | |
| dc.date.accessioned | 2025-09-18T12:10:01Z | |
| dc.date.available | 2017-04-24T08:17:58Z | |
| dc.date.available | 2025-09-18T12:10:01Z | |
| dc.date.issued | 2016 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768 | en_US |
| dc.description.abstract | In this manuscript we propose the discrete versions for the recently introduced fractional derivatives with nonsingular Mittag-Leffler function. The properties of such fractional differences are studied and the discrete integration by parts formulas are proved. Then a discrete variational problem is considered with an illustrative example. Finally, some more tools for these derivatives and their discrete versions have been obtained. | en_US |
| dc.identifier.citation | Abdeljawad, T., Baleanu, D. (2016). Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels. Advance in Difference Equations. http://dx.doi.org/10.1186/s13662-016-0949-5 | en_US |
| dc.identifier.doi | 10.1186/s13662-016-0949-5 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-84986325930 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-016-0949-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11571 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Discrete Fractional Derivative | en_US |
| dc.subject | Modified Mittag-Leffler Function | en_US |
| dc.subject | Discrete Mittag-Leffler Function | en_US |
| dc.subject | Discrete Nabla Laplace Transform | en_US |
| dc.subject | Convolution | en_US |
| dc.subject | Discrete Abr Fractional Derivative | en_US |
| dc.title | Discrete Fractional Differences With Nonsingular Discrete Mittag-Leffler Kernels | en_US |
| dc.title | Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
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| 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 | [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Phys Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2016 | |
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| gdc.oaire.keywords | Fractional Differential Equations | |
| gdc.oaire.keywords | Evolutionary biology | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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| gdc.oaire.keywords | Partial differential equation | |
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| gdc.oaire.keywords | Fractional Derivatives | |
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| gdc.oaire.keywords | discrete \textit{ABR} fractional derivative | |
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