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.
Authors
- Nabil Mlaiki (ORCID: https://orcid.org/0000-0002-7986-886X)
- Gauhar Rahman (ORCID: https://orcid.org/0000-0002-2728-7537)
- Saima Naheed (ORCID: https://orcid.org/0000-0003-1984-525X)
- Irshad Ayoob (ORCID: https://orcid.org/0000-0003-1511-9306)
- Adeeba Rafi
Institutions
- Prince Sultan University (SA)
- University of Sargodha (PK)
- Hazara University (PK)
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
Funders
- Prince Sultan University