On Fractional Derivatives With Exponential Kernel and Their Discrete Versions
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2020-03-05T08:28:25Z | |
| dc.date.accessioned | 2025-09-18T14:10:51Z | |
| dc.date.available | 2020-03-05T08:28:25Z | |
| dc.date.available | 2025-09-18T14:10:51Z | |
| dc.date.issued | 2017 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768 | en_US |
| dc.description.abstract | In this paper we define the right fractional derivative and its corresponding right fractional integral with exponential kernel. We provide the integration by parts formula and we use the Q-operator to confirm our results. The related Euler Lagrange equations are obtained and one example is reported. Moreover, we formulate and discuss the discrete counterparts of our results. | en_US |
| dc.identifier.citation | Abdeljawad, Thabet; Baleanu, Dumitru, "On fractional derivatives with exponential kernel and their discrete versions", Reports On Mathematical Physics, Vol.80, No.1, pp.11-27, (2017). | en_US |
| dc.identifier.doi | 10.1016/S0034-4877(17)30059-9 | |
| dc.identifier.issn | 0034-4877 | |
| dc.identifier.issn | 1879-0674 | |
| dc.identifier.scopus | 2-s2.0-85028064900 | |
| dc.identifier.uri | https://doi.org/10.1016/S0034-4877(17)30059-9 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13833 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.ispartof | Reports on Mathematical Physics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Caputo Fractional Difference | en_US |
| dc.subject | Q-Operator | en_US |
| dc.subject | Discrete Exponential Function | en_US |
| dc.subject | Discrete Nabla Laplace Transform | en_US |
| dc.subject | Convolution | en_US |
| dc.title | On Fractional Derivatives With Exponential Kernel and Their Discrete Versions | en_US |
| dc.title | On fractional derivatives with exponential kernel and their discrete versions | tr_TR |
| dc.type | Article | en_US |
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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.endpage | 27 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 11 | en_US |
| gdc.description.volume | 80 | en_US |
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| gdc.oaire.keywords | discrete nabla Laplace transform | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Caputo fractional difference | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | discrete exponential function | |
| gdc.oaire.keywords | \(Q\)-operator | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
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