A generalization of truncated M-fractional derivative and applications to fractional differential equations
Yazarlar (2)
Doç. Dr. Esin İLHAN Kırşehir Ahi Evran Üniversitesi, Türkiye
I. Onur Klymaz
Kırşehir Ahi Evran Üniversitesi, Türkiye
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
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| Dergi Adı | Applied Mathematics and Nonlinear Sciences | ||
| Dergi ISSN | 2444-8656 Dergi Bilgileri (2020) | ||
| Dergi Tarandığı Indeksler | MathSciNet | ||
| Makale Dili | İngilizce | Basım Tarihi | 03-2020 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 01-01-2020 |
| 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 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| 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 |
| alternative fractional derivative | conformable fractional derivative | M-series | Truncated M-fractional derivative |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 179 |
| Scopus | 192 |
| Google Scholar | 231 |