Generalized Fractional Integral Extensions of Hermite-Hadamard Inequalities via Extended Mittag-Leffler Kernel

In this article, we provid a number of Hermite-Hadamard type fractional integral inequalities for the Atangana-Baleanu and Prabhakar fractional operators, using extended generalized Mittag-Leffler functions as their kernel. Significant findings are provided for the integral inequalities involving fractional integrals of the type $({{\Im_1}}+, {{\Im_2}}-)$ and $(\frac{{{\Im_1}} + {{\Im_2}}}{2})$. By employing certain functions to create visual graphs with matching numerical entries that depict the inequalities, we show the veracity of our findings.

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Publication Details

Journal
European Journal of Pure and Applied Mathematics
Published
2025-05-01
DOI
https://doi.org/10.29020/nybg.ejpam.v18i2.6089
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

Generalized Fractional Integral Extensions of Hermite-Hadamard Inequalities via Extended Mittag-Leffler Kernel

Nabil Mlaiki, Gauhar Rahman, Saima Naheed, Irshad Ayoob et al.
European Journal of Pure and Applied Mathematics
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Generalized Fractional Integral Extensions of Hermite-Hadamard Inequalities via Extended Mittag-Leffler Kernel

Nabil Mlaiki, Gauhar Rahman, Saima Naheed, Irshad Ayoob, Adeeba Rafi
article en

Abstract

In this article, we provid a number of Hermite-Hadamard type fractional integral inequalities for the Atangana-Baleanu and Prabhakar fractional operators, using extended generalized Mittag-Leffler functions as their kernel. Significant findings are provided for the integral inequalities involving fractional integrals of the type $({{\Im_1}}+, {{\Im_2}}-)$ and $(\frac{{{\Im_1}} + {{\Im_2}}}{2})$. By employing certain functions to create visual graphs with matching numerical entries that depict the inequalities, we show the veracity of our findings.

European Journal of Pure and Applied MathematicsVol. 18(2)
Prince Sultan University (SA), University of Sargodha (PK), Hazara University (PK)
Prince Sultan University
Openalex Percentile: Top 87%
Mathematical Inequalities and Applications
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