On the Laplace Integral Representation of Multivariate Mittag-Leffler Functions in Anomalous Relaxation
| dc.contributor.author | Khamzin, Airat A. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Nigmatullin, Raoul R. | |
| dc.date.accessioned | 2017-04-24T11:41:35Z | |
| dc.date.accessioned | 2025-09-18T15:44:16Z | |
| dc.date.available | 2017-04-24T11:41:35Z | |
| dc.date.available | 2025-09-18T15:44:16Z | |
| dc.date.issued | 2016 | |
| dc.description | Khamzin, Airat/0000-0001-9741-4346 | en_US |
| dc.description.abstract | In the given paper, a special method of representation of the Mittag-Leffler functions and their multivariate generalizations in the form of the Laplace integrals is suggested. The method is based on the usage of the generalized multiplication Efros theorem. The possibilities of a new method are demonstrated on derivation of the integral representations for relaxation functions used in the anomalous dielectric relaxation in time domain. Copyright (C) 2016 JohnWiley & Sons, Ltd. | en_US |
| dc.identifier.citation | Nigmatullin, R.R., Khamzin, A.A., Baleanu, D. (2016). On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation. Mathematical Methods In The Applied Sciences, 39(11), 2983-2992. http://dx.doi.org/10.1002/mma.3746 | en_US |
| dc.identifier.doi | 10.1002/mma.3746 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-84988336101 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.3746 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14228 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Mittag-Leffler Functions | en_US |
| dc.subject | Generalized Multiplication Efros Theorem | en_US |
| dc.subject | Anomalous Dielectric Relaxation | en_US |
| dc.subject | Fractional Kinetics | en_US |
| dc.subject | Laplace Transform | en_US |
| dc.title | On the Laplace Integral Representation of Multivariate Mittag-Leffler Functions in Anomalous Relaxation | en_US |
| dc.title | On the Laplace integral representation of multivariate Mittag-Leffler functions in anomalous relaxation | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Nigmatullin, Raoul/Aao-5504-2020 | |
| gdc.author.wosid | Khamzin, Airat/N-7544-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Nigmatullin, Raoul R.] Kazan Natl Res Tech Univ KNRTU KAI, Karl Marx Str 10, Kazan 420010, Tatarstan, Russia; [Khamzin, Airat A.] Kazan Fed Univ, Kremlevskaya Str 18, Kazan 420008, Tatarstan, Russia; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 2992 | en_US |
| gdc.description.issue | 11 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 2983 | en_US |
| gdc.description.volume | 39 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | anomalous dielectric relaxation | |
| gdc.oaire.keywords | fractional kinetics | |
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| gdc.oaire.keywords | subclass 65Z05 | |
| gdc.oaire.keywords | 33F05 | |
| gdc.oaire.keywords | laplace transform | |
| gdc.oaire.keywords | generalized multiplication efros theorem | |
| gdc.oaire.keywords | Mittag-Leffler functions | |
| gdc.oaire.keywords | Laplace transform | |
| gdc.oaire.keywords | Mittag-Leffler functions and generalizations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Electromagnetic theory (general) | |
| gdc.oaire.keywords | Transform methods (e.g., integral transforms) applied to PDEs | |
| gdc.oaire.keywords | generalized multiplication Efros theorem | |
| gdc.oaire.keywords | Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane | |
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