Yazarlar |
Enes Ata
|
Prof. Dr. İsmail Onur KIYMAZ
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Shilpi Jain
|
Praveen Agarwal
|
Sharer Momani
|
Özet |
In this chapter, we introduce three types of multi-parameter generalized fractional operators in the sense of the Riemann–Liouville and Caputo fractional operators, which contain generalized M-series in their kernels. These fractional operators have a more general form than many fractional operators in the literature. We also obtain the Laplace, Mellin, and beta integral transforms of these fractional operators and give some illustrative examples. Finally, we present the relations of these operators to fractional operators in the literature. |
Anahtar Kelimeler |
Fractional operators | Integral transforms | Special functions |
Kitap Adı | Recent Trends in Fractional Calculus and Its Applications |
Bölüm(ler) | Multi-parameter generalized fractional operators and their integral transforms |
Kitap Türü | Kitap Bölümü |
Kitap Alt Türü | Alanında uluslararası yayımlanan kitap bölümü |
Kitap Niteliği | Scopus indeksinde taranan bilimsel kitap |
Kitap Dili | İngilizce |
Basım Tarihi | 01-2024 |
ISBN | 978-0-443-18505-2 |
Basıldığı Ülke | |
Basıldığı Şehir |