On a New Definition of Fractional Differintegrals With Mittag-Leffler Kernel
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Fernandez, Arran | |
| dc.date.accessioned | 2020-03-09T13:12:18Z | |
| dc.date.accessioned | 2025-09-18T14:08:50Z | |
| dc.date.available | 2020-03-09T13:12:18Z | |
| dc.date.available | 2025-09-18T14:08:50Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | We introduce a new family of fractional differential and integral operators which emerge from a fractional iteration process applied to some existing fractional operators with Mittag-Leffler kernels. We analyse the new operators and prove various facts about them, including a semigroup property. We also solve some ODEs in this new model by using Laplace transforms, and discuss applications of our results. | en_US |
| dc.description.sponsorship | Engineering and Physical Sciences Research Council, UK | en_US |
| dc.description.sponsorship | The first author acknowledges the support of the Engineering and Physical Sciences Research Council, UK. | en_US |
| dc.identifier.citation | Fernandez, Arran; Baleanu, Dumitru, "On a New Definition of Fractional Differintegrals with Mittag-Leffler Kernel", Filomat, Vol. 33, No. 1, pp. 245-254, (2019). | en_US |
| dc.identifier.doi | 10.2298/FIL1901245F | |
| dc.identifier.issn | 0354-5180 | |
| dc.identifier.issn | 2406-0933 | |
| dc.identifier.scopus | 2-s2.0-85066752065 | |
| dc.identifier.uri | https://doi.org/10.2298/FIL1901245F | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13224 | |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Nis, Fac Sci Math | en_US |
| dc.relation.ispartof | Filomat | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Semigroup Property | en_US |
| dc.subject | Mittag-Leffler Function | en_US |
| dc.title | On a New Definition of Fractional Differintegrals With Mittag-Leffler Kernel | en_US |
| dc.title | On a New Definition of Fractional Differintegrals with Mittag-Leffler Kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Fernandez, Arran/E-7134-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Fernandez, Arran] Univ Cambridge, Dept Appl Math & Theoret Phys, Wilberforce Rd, Cambridge CB3 0WA, England; [Fernandez, Arran] Eastern Mediterranean Univ, Fac Arts & Sci, Dept Math, Mersin 10, Gazimagusa, Trnc, Turkey; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 254 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 245 | en_US |
| gdc.description.volume | 33 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Mathematics - Classical Analysis and ODEs | |
| gdc.oaire.keywords | Classical Analysis and ODEs (math.CA) | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | 26A33, 34A08 | |
| gdc.oaire.keywords | Mittag-Leffler function | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | semigroup property | |
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