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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Vydáno v:AIMS mathematics Ročník 9; číslo 10; s. 28813 - 28827
Hlavní autoři: Benali, Halim, Souid, Mohammed Said, Günerhan, Hatıra, Fernandez-Gamiz, Unai
Médium: Journal Article
Jazyk:angličtina
Vydáno: AIMS Press 01.01.2024
Témata:
caputo fractional derivatives
convexity
modified $ h $-convexity
ISSN:2473-6988, 2473-6988
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Abstract 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.
AbstractList 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.
Author Souid, Mohammed Said
Benali, Halim
Fernandez-Gamiz, Unai
Günerhan, Hatıra
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Cites_doi 10.1002/mma.8964
10.1155/2021/6691151
10.1142/9781848163300
10.1080/09720502.2020.1815343
10.1186/s13660-020-2281-6
10.1002/mma.5396
10.46793/KgJMat2003.393F
10.1016/j.chaos.2020.110053
10.1186/s13662-021-03553-z
10.1111/j.1365-246X.1967.tb02303.x
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StartPage 28813
SubjectTerms caputo fractional derivatives
convexity
modified $ h $-convexity
Title Estimates related to Caputo derivatives using generalized modified $ h $-convex functions
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