Novel integral inequalities concerning modified Atangana-Baleanu fractional integral operators

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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Publication Details

Journal
Journal of Mathematics and Computer Science
Published
2025-04-15
DOI
https://doi.org/10.22436/jmcs.039.03.07
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

Novel integral inequalities concerning modified Atangana-Baleanu fractional integral operators

Nabil Mlaiki, Sarah Aljohani, Gauhar Rahman, Muhammad Samraiz et al.
1 links
Journal of Mathematics and Computer Science
Mathematical Inequalities and Applications
article

Novel integral inequalities concerning modified Atangana-Baleanu fractional integral operators

Nabil Mlaiki, Sarah Aljohani, Gauhar Rahman, Muhammad Samraiz, Imed Boukhris
article en

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.

Journal of Mathematics and Computer ScienceVol. 39(03)
King Khalid University, Prince Sultan University
Reduced inequalities
Openalex Percentile: Top 89%
Mathematical Inequalities and Applications
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