AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (242.2 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

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

Halim Benali1, Mohammed Said Souid2, Hatıra Günerhan3,4( ), Unai Fernandez-Gamiz5
Laboratory of Informatic and Mathematics, Faculty of Mathematics and Informatic, University of Tiaret, Algeria
Department of Economic Sciences, University of Tiaret, Tiaret, Algeria
Department of Mathematics, Faculty of Education, Kafkas University, Kars, Turkey
MEU Research Unit, Middle East University, Amman, Jordan
Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country UPV/EHU, Nieves Cano 12, 01006, Vitoria-Gasteiz, Spain
Show Author Information

Abstract

In the present work, we have established some new fractional integral inequalities for functions whose kth-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.

Keywords

modified h-convexityconvexityCaputo fractional derivatives
CLC number: 26A51, 26A33

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 10,
October 2024
Pages 28813-28827
DOI: 10.3934/math.20241398

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Benali H, Souid MS, Günerhan H, et al. Estimates related to Caputo derivatives using generalized modified h-convex functions. AIMS Mathematics, 2024, 9(10): 28813-28827. https://doi.org/10.3934/math.20241398

45

Views

0

Downloads

2

Crossref

2

Web of Science

2

Scopus
Received: 05 June 2024
Revised: 15 August 2024
Accepted: 20 August 2024
Published: 15 October 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)