| Yazarlar |
Prof. Dr. İsmail Onur KIYMAZ
Ahi Evran Üniversitesi, Türkiye |
Prof. Dr. Ayşegül ÇETİNKAYA
Ahi Evran Üniversitesi, Türkiye |
Praveen Agarwal
|
| Özet |
| 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. |
| Anahtar Kelimeler |
| Caputo fractional derivative, hypergeometric functions, generating functions, Mellin transform, integral representations |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS |
| Dergi ISSN | 2008-1898 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2016 |
| Cilt No | 9 |
| Sayı | 6 |
| Sayfalar | 3611 / 3621 |
| Doi Numarası | 10.22436/jnsa.009.06.14 |
| Makale Linki | http://www.emis.de/journals/TJNSA/includes/files/articles/Vol9_Iss6_3611--3621_An_extension_of_Caputo_fractional_d.pdf |
| Atıf Sayıları | |
| WoS | 37 |
| SCOPUS | 48 |
| Google Scholar | 69 |
