| dc.contributor.author | Kiymaz, I. Onur | |
| dc.contributor.author | Cetinkaya, Aysegul | |
| dc.contributor.author | Agarwal, Praveen | |
| dc.date.accessioned | 2019-11-24T20:57:37Z | |
| dc.date.available | 2019-11-24T20:57:37Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 2008-1898 | |
| dc.identifier.issn | 2008-1901 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2746 | |
| dc.description | WOS: 000386871300014 | en_US |
| dc.description.abstract | In this paper, an extension of Caputo fractional derivative operator is introduced, and the extended fractional derivatives of some elementary functions are calculated. At the same time, extensions of some hypergeometric functions and their integral representations are presented by using the extended fractional derivative operator, linear and bilinear generating relations for extended hypergeometric functions are obtained, and Mellin transforms of some extended fractional derivatives are also determined. (C) 2016 All rights reserved. | en_US |
| dc.description.sponsorship | Ahi Evran University Scientific Research Projects Coordination UnitAhi Evran University [PYO-FEN.4001.14.014] | en_US |
| dc.description.sponsorship | This work was partly presented on September 3-7, 2012 at 1st International Eurasian Conference on Mathematical Sciences and Applications IECMSA-2012 at Prishtine-KOSOVO. This work was supported by Ahi Evran University Scientific Research Projects Coordination Unit. Project Number: PYO-FEN.4001.14.014. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | INT SCIENTIFIC RESEARCH PUBLICATIONS | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Caputo fractional derivative | en_US |
| dc.subject | hypergeometric functions | en_US |
| dc.subject | generating functions | en_US |
| dc.subject | Mellin transform | en_US |
| dc.subject | integral representations | en_US |
| dc.title | An extension of Caputo fractional derivative operator and its applications | en_US |
| dc.type | article | en_US |
| dc.relation.journal | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.identifier.volume | 9 | en_US |
| dc.identifier.issue | 6 | en_US |
| dc.identifier.startpage | 3611 | en_US |
| dc.identifier.endpage | 3621 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
