Estimations of fractional integral operators for convex functions and related results

Autor:	Zhihua Chen, Ghulam Farid, Atiq Ur Rehman, Naveed Latif
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Convex function Mittag-Leffler function Generalized fractional integral operators Fractional differential equations Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-18 (2020)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-020-02621-0
Popis:	Abstract This research investigates the bounds of fractional integral operators containing an extended generalized Mittag-Leffler function as a kernel via several kinds of convexity. In particular, the established bounds are studied for convex functions and further connected with known results. Furthermore, these results applied to the parabolic function and consequently recurrence relations for Mittag-Leffler functions are obtained. Moreover, some fractional differential equations containing Mittag-Leffler functions are constructed and their solutions are provided by Laplace transform technique.
Databáze:	Directory of Open Access Journals
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