On boundedness of fractional integral operators via several kinds of convex functions

For generalizations of concepts of different fields fractional derivative operators as well as fractional integral operators are useful notions. Our aim in this paper is to discuss boundedness of the integral operators which contain Mittag-Leffler function in their kernels. The results are obtained...

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Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 10; pp. 19167 - 19179
Main Authors Liu, Yonghong, Farid, Ghulam, Abuzaid, Dina, Yasmeen, Hafsa
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
bounds
generalized fractional integral operators
strongly (α，h−m)-convex function
unified mittag-leffler function
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Summary:For generalizations of concepts of different fields fractional derivative operators as well as fractional integral operators are useful notions. Our aim in this paper is to discuss boundedness of the integral operators which contain Mittag-Leffler function in their kernels. The results are obtained for strongly $ (\alpha, h-m) $-convex functions which hold for different kinds of convex functions at the same time. They also give improvements/refinements of many already published results.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.20221052