Some New Fractional-Calculus Connections Between Mittag-Leffler Functions
| dc.contributor.author | Fernandez, Arran | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Srivastava, Hari M. | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2019-12-27T12:16:37Z | |
| dc.date.accessioned | 2025-09-18T12:09:45Z | |
| dc.date.available | 2019-12-27T12:16:37Z | |
| dc.date.available | 2025-09-18T12:09:45Z | |
| dc.date.issued | 2019 | |
| dc.description | Srivastava, Hari M./0000-0002-9277-8092; Fernandez, Arran/0000-0002-1491-1820 | en_US |
| dc.description.abstract | We consider the well-known Mittag-Leffler functions of one, two and three parameters, and establish some new connections between them using fractional calculus. In particular, we express the three-parameter Mittag-Leffler function as a fractional derivative of the two-parameter Mittag-Leffler function, which is in turn a fractional integral of the one-parameter Mittag-Leffler function. Hence, we derive an integral expression for the three-parameter one in terms of the one-parameter one. We discuss the importance and applications of all three Mittag-Leffler functions, with a view to potential applications of our results in making certain types of experimental data much easier to analyse. | en_US |
| dc.description.publishedMonth | 6 | |
| dc.identifier.citation | Srivastava, Hari M.; Fernandez, Arran; Baleanu, Dumitru, "Some New Fractional-Calculus Connections between Mittag-Leffler Functions", Mathematics, Vol. 7, No. 6, (June 2019). | en_US |
| dc.identifier.doi | 10.3390/math7060485 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.scopus | 2-s2.0-85066855486 | |
| dc.identifier.uri | https://doi.org/10.3390/math7060485 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/11506 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Integrals | en_US |
| dc.subject | Fractional Derivatives | en_US |
| dc.subject | Mittag-Leffler Functions | en_US |
| dc.title | Some New Fractional-Calculus Connections Between Mittag-Leffler Functions | en_US |
| dc.title | Some New Fractional-Calculus Connections between Mittag-Leffler Functions | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Srivastava, Hari M./0000-0002-9277-8092 | |
| gdc.author.id | Fernandez, Arran/0000-0002-1491-1820 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 23152241800 | |
| gdc.author.scopusid | 57193722100 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Fernandez, Arran/E-7134-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Srivastava, Hari M./N-9532-2013 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Srivastava, Hari M.] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada; [Srivastava, Hari M.] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan; [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, TR-99628 Famagusta, Trnc, Turkey; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 7 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2947935779 | |
| gdc.identifier.wos | WOS:000475299100001 | |
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| gdc.opencitations.count | 41 | |
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