Mathematical Inequalities and ApplicationsNonlinear Differential Equations AnalysisFractional Differential Equations Solutions

Maged Bin-Saad, J. A. Younis, M. S. Alatawi, Ali N. A. Koam

2026.1.1Journal of Function Spaces

DOI: 10.1155/jofs/4817046

Abstract

This paper introduces and investigates novel fractional integral operators featuring the extended Mittag‐Leffler function in the kernel. After establishing the core properties of these operators, we derive the corresponding Hadamard and Fejér–Hadamard inequalities. The established inequalities are also specialized to demonstrate results for simpler operators.

Citation format

BIN-SAAD, Maged, et al. On hadamard and fejér–hadamard inequalities for fractional integrals involving mittag‐leffler‐type function of arbitrary order. Journal of Function Spaces, 2026, 2026(1).