Novel integral inequalities concerning modified Atangana-Baleanu fractional integral operators

Volume 39, Issue 3, pp 386--397 https://dx.doi.org/10.22436/jmcs.039.03.07

Publication Date: April 15, 2025 Submission Date: September 18, 2024 Revision Date: January 14, 2025 Accteptance Date: February 28, 2025

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Authors

G. Rahman - Department of Mathematics and Statistics, Hazara University, Mansehra 21300, Pakistan. M. Samraiz - Department of Mathematics, University of Sargodha, P.O. Box 40100, Sargodha, Pakistan. I. Boukhris - Department of Physics, Faculty of Science, King Khalid University, P.O. Box 960, Abha, Saudi Arabia. S. Aljohani - Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia. N. Mlaiki - Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia.

Abstract

Integral identities that have been developed in inequality theory study support a number of inequalities. A number of fractional integral and derivative operators are currently used to achieve these identities. In order to show several integral inequalities for convex functions, this article first derives an integral identity using modified Atangana-Baleanu integral operators. The fundamental aim of this work is to obtain new and general form integral inequalities by using fractional integral operators with strong kernel structure.

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Keywords

• Young inequality
• Hadamard inequality
• convex function
• power mean inequality
• fractional operators

MSC

•  26A33
•  26A51
•  26D10

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