On the Kolmogorov Forward Equations Within Caputo and Riemann-Liouville Fractions Derivatives
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Alipour, Mohsen | |
| dc.date.accessioned | 2018-09-26T10:01:14Z | |
| dc.date.accessioned | 2025-09-18T12:05:02Z | |
| dc.date.available | 2018-09-26T10:01:14Z | |
| dc.date.available | 2025-09-18T12:05:02Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | In this work, we focus on the fractional versions of the well-known Kolmogorov forward equations. We consider the problem in two cases. In case 1, we apply the left Caputo fractional derivatives for alpha is an element of (0, 1] and in case 2, we use the right Riemann-Liouville fractional derivatives on R+, for alpha is an element of (1, + infinity). The exact solutions are obtained for the both cases by Laplace transforms and stable subordinators. | en_US |
| dc.identifier.citation | Alipour, M., Baleanu, D. (2016). On the Kolmogorov forward equations within Caputo and Riemann-Liouville fractions derivatives. Anelele Stiintifice ale Universitatii Ovidius Constanta Matematica, 24(3), 5-19. http://dx.doi.org/10.1515/auom-2016-0045 | en_US |
| dc.identifier.doi | 10.1515/auom-2016-0045 | |
| dc.identifier.issn | 1224-1784 | |
| dc.identifier.issn | 1844-0835 | |
| dc.identifier.scopus | 2-s2.0-85009962804 | |
| dc.identifier.uri | https://doi.org/10.1515/auom-2016-0045 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10497 | |
| dc.language.iso | en | en_US |
| dc.publisher | Ovidius Univ Press | en_US |
| dc.relation.ispartof | Analele Universitatii "Ovidius" Constanta - Seria Matematica | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | On the Kolmogorov Forward Equations Within Caputo and Riemann-Liouville Fractions Derivatives | en_US |
| dc.title | On the Kolmogorov forward equations within Caputo and Riemann-Liouville fractions derivatives | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Alipour, Mohsen/Abg-9213-2021 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Alipour, Mohsen] Babol Noshirvani Univ Technol, Fac Basic Sci, Dept Math, POB 47148-71167, Babol Sar, Iran; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, POB MG-23, Magurele 077125, Romania | en_US |
| gdc.description.endpage | 19 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 5 | en_US |
| gdc.description.volume | 24 | en_US |
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| gdc.oaire.keywords | riemann-liouville fractional derivative | |
| gdc.oaire.keywords | caputo fractional derivative | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | 33e12 | |
| gdc.oaire.keywords | 34a08 | |
| gdc.oaire.keywords | stable subordinator | |
| gdc.oaire.keywords | 26a33 | |
| gdc.oaire.keywords | mittag-leffler functions | |
| gdc.oaire.keywords | fractional kolmogorov forward equations | |
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