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.

Uložené v:

Podrobná bibliografia
Vydané v:	AIMS mathematics Ročník 9; číslo 10; s. 28813 - 28827
Hlavní autori:	Benali, Halim, Souid, Mohammed Said, Günerhan, Hatıra, Fernandez-Gamiz, Unai
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	AIMS Press 01.01.2024
Predmet:	caputo fractional derivatives convexity modified $ h $-convexity
ISSN:	2473-6988, 2473-6988
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Popis
Shrnutí:	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