Estimates related to Caputo derivatives using generalized modified $ h $-convex functions

In the present work, we have established some new fractional integral inequalities for functions whose $ k $th-derivatives are generalized modified $ h $-convex and symmetric about the midpoint involving the Caputo fractional derivatives. Many particular cases are obtained by using the findings.

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Bibliographic Details
Published in:	AIMS mathematics Vol. 9; no. 10; pp. 28813 - 28827
Main Authors:	Benali, Halim, Souid, Mohammed Said, Günerhan, Hatıra, Fernandez-Gamiz, Unai
Format:	Journal Article
Language:	English
Published:	AIMS Press 01.01.2024
Subjects:	caputo fractional derivatives convexity modified $ h $-convexity
ISSN:	2473-6988, 2473-6988
Online Access:	Get full text
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Description
Summary:	In the present work, we have established some new fractional integral inequalities for functions whose $ k $th-derivatives are generalized modified $ h $-convex and symmetric about the midpoint involving the Caputo fractional derivatives. Many particular cases are obtained by using the findings.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.20241398