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
Praveen Agarwal
Anand International College Of Engineering
Anand International College Of Engineering
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Nonlinear Sciene 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. |
| Anahtar Kelimeler |
| Caputo fractional derivative | Generating functions | Hypergeometric functions | Integral representations | Mellin transform |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Scopus | 12 |
| Web of Science | 40 |