| Yazarlar |
Doç. Dr. Esin İLHAN
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Prof. Dr. İsmail Onur KIYMAZ
Türkiye |
| Özet |
| In this paper, our aim is to generalize the truncated M-fractional derivative which was recently introduced [Sousa and de Oliveira, A new truncated M-fractional derivative type unifying some fractional derivative types with classical properties, Inter. of Jour. Analy. and Appl., 16 (1), 83-96, 2018]. To do that, we used generalized M-series, which has a more general form than Mittag-Leffler and hypergeometric functions. We called this generalization as truncated M-series fractional derivative. This new derivative generalizes several fractional derivatives and satisfies important properties of the integer-order derivatives. Finally, we obtain the analytical solutions of some M-series fractional differential equations. |
| Anahtar Kelimeler |
| Truncated M-fractional derivative, alternative fractional derivative, conformable fractional derivative, M-series |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | Uluslararası alan indekslerindeki dergilerde yayımlanan tam makale |
| Dergi Adı | Applied Mathematics and Nonlinear Sciences |
| Dergi ISSN | 2444-8656 |
| Dergi Tarandığı Indeksler | MathSciNet |
| Makale Dili | İngilizce |
| Basım Tarihi | 03-2020 |
| Cilt No | 5 |
| Sayı | 1 |
| Sayfalar | 171 / 188 |
| Doi Numarası | 10.2478/amns.2020.1.00016 |
| Makale Linki | http://dx.doi.org/10.2478/amns.2020.1.00016 |
| Atıf Sayıları | |
| WoS | 166 |
