An extension of Caputo fractional derivative operator and its applications
Yazarlar (3)
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Ayşegül ÇETİNKAYA
Kırşehir Ahi Evran Üniversitesi, Türkiye
Anand International College Of Engineering, Hindistan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Nonlinear Science and Applications (Q4) | ||
| Dergi ISSN | 2008-1898 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2016 |
| Cilt / Sayı / Sayfa | 9 / 6 / 3611–3621 | DOI | 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 | ||
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 40 |
| SCOPUS | 53 |
| Google Scholar | 71 |