Fractional calculus of modified special functions involving the generalized M-series in their kernels and illustrative examples

Autor:	Enes Ata, İ Onur Kıymaz, Praveen Agarwal, Shilpi Jain, Shaher Momani
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Fractional derivatives and integrals Fractional differential equations Beta function Gauss hypergeometric function Confluent hypergeometric function Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100720- (2024)
Druh dokumentu:	article
ISSN:	2666-8181
DOI:	10.1016/j.padiff.2024.100720
Popis:	In this paper we apply the Riemann–Liouville, Erdelyi–Kober and Caputo fractional operators to the modified beta, modified Gauss hypergeometric and modified confluent hypergeometric functions in which the generalized M-series are included in their kernels. Furthermore, as examples, we obtain solutions of some fractional differential equations involving the above modified special functions.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/cf5252445f42481a8ebaa3c29b831bd1 Zobrazit plný text záznamu View record in DOAJ