A generalization of truncated M-fractional derivative and applications to fractional differential equations
Yazarlar (2)
Doç. Dr. Esin İLHAN
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(Uluslararası alan indekslerindeki dergilerde yayınlanan tam makale)
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| Dergi Adı | Applied Mathematics and Nonlinear Sciences | ||
| Dergi ISSN | 2444-8656 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | MathSciNet | ||
| Makale Dili | İngilizce | Basım Tarihi | 03-2020 |
| Cilt / Sayı / Sayfa | 5 / 1 / 171–188 | DOI | 10.2478/amns.2020.1.00016 |
| Makale Linki | http://dx.doi.org/10.2478/amns.2020.1.00016 | ||
| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 176 |
| SCOPUS | 190 |
| Google Scholar | 221 |