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 Açık Erişim Özgün Makale (Uluslararası alan indekslerindeki dergilerde yayınlanan tam makale)
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
AbstractIn 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
Web of Science 176
A generalization of truncated M-fractional derivative and applications to fractional differential equations

Paylaş

İletişim
  • Kırşehir Ahi Evran Üniversitesi Bağbaşı Yerleşkesi, 40100, KIRŞEHİR \ TÜRKİYE
  • unis@ahievran.edu.tr
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