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

Year: 2025

Type: article

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.

Source: European Journal of Pure and Applied Mathematics

DOI: 10.29020/nybg.ejpam.v18i2.6089

Authors: Saima Naheed, Adeeba Rafi, Gauhar Rehman, Irshad Ayoob, Nabil Mlaiki

Institutions: University of Sargodha, Hazara University, Prince Sultan University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Prince Sultan University

OpenAlex ID: W4410005059

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