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Multi-parameter generalized fractional operators and their integral transforms (Recent Trends in Fractional Calculus and Its Applications)   
Yazarlar
Enes Ata
Prof. Dr. İsmail Onur KIYMAZ 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