| dc.contributor.author | Kıymaz İ.O. | |
| dc.contributor.author | Agarwal P. | |
| dc.contributor.author | Jain S. | |
| dc.contributor.author | Çetinkaya A. | |
| dc.date.accessioned | 2019-11-24T20:57:51Z | |
| dc.date.available | 2019-11-24T20:57:51Z | |
| dc.date.issued | 2017 | |
| dc.identifier.issn | 2297-0215 | |
| dc.identifier.uri | https://dx.doi.org/10.1007/978-981-10-4337-6_11 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12513/2883 | |
| dc.description.abstract | In this paper, by using a generalization of beta function we introduced a new extension of Caputo fractional derivative operator and obtained some of its properties. With the help of this extended fractional derivative operator, we also defined new extensions of some hypergeometric functions and determined their integral representations, linear and bilinear generating relations. © 2017, Springer Nature Singapore Pte Ltd. | en_US |
| dc.description.sponsorship | Firat University Scientific Research Projects Management Unit, FÜBAP --Acknowledgements This work was supported by the Ahi Evran University Scientific Research Projects Coordination Unit. Project Number: FEF.D1.16.001. -- | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Springer International Publishing | en_US |
| dc.relation.isversionof | 10.1007/978-981-10-4337-6_11 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Caputo fractional derivative | en_US |
| dc.subject | Generating functions | en_US |
| dc.subject | Hypergeometric functions | en_US |
| dc.subject | Integral representations | en_US |
| dc.title | On a new extension of Caputo fractional derivative operator | en_US |
| dc.type | bookPart | en_US |
| dc.relation.journal | Trends in Mathematics | en_US |
| dc.contributor.department | Kırşehir Ahi Evran Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.identifier.issue | 9.78981E+12 | en_US |
| dc.identifier.startpage | 261 | en_US |
| dc.identifier.endpage | 275 | en_US |
| dc.relation.publicationcategory | Kitap Bölümü - Uluslararası | en_US |
