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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Bibliographische Detailangaben
Veröffentlicht in:	AIMS mathematics Jg. 9; H. 10; S. 28813 - 28827
Hauptverfasser:	Benali, Halim, Souid, Mohammed Said, Günerhan, Hatıra, Fernandez-Gamiz, Unai
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	AIMS Press 01.01.2024
Schlagworte:	caputo fractional derivatives convexity modified $ h $-convexity
ISSN:	2473-6988, 2473-6988
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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