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New Fractional Operators Including Wright Function in Their Kernels      
Yazarlar
Enes Ata
Prof. Dr. İsmail Onur KIYMAZ Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
In this paper, we defined new two-fractional derivative operators with a Wright function in their kernels. We also gave their Laplace and inverse Laplace transforms. Then, we presented some connections between the new fractional operators. Furthermore, as examples, we obtained solutions of differential equations involving new fractional operators. Finally, we examined the relations of the new fractional operators with the fractional operators, which can be found in the literature.
Anahtar Kelimeler
fractional derivatives | fractional differential equations | Laplace transform | Wright function
Makale Türü Özgün Makale
Makale Alt Türü Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayımlanan tam makale
Dergi Adı Turkish Journal of Mathematics and Computer Science
Dergi ISSN 2148-1830
Dergi Tarandığı Indeksler TR DİZİN
Makale Dili İngilizce
Basım Tarihi 06-2023
Cilt No 15
Sayı 1
Sayfalar 79 / 88
Doi Numarası 10.47000/tjmcs.999775
Makale Linki http://dx.doi.org/10.47000/tjmcs.999775
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
New Fractional Operators Including Wright Function in Their Kernels

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