@article{Hussain2024, 
author = {Sabir Hussain and Rida Khaliq and Sobia Rafeeq and Azhar Ali and Jongsuk Ro},
title = {Some fractional integral inequalities involving extended Mittag-Leffler function with applications},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {12},
pages = {35599-35625},
keywords = {Mittag-Leffler functions and generalizations, Hermite-Hadamard type inequalities, fractional integrals, inequalities involving matrices, modified Bessel functions},
url = {https://www.sciopen.com/article/10.3934/math.20241689},
doi = {10.3934/math.20241689},
abstract = {Integral inequalities and the Mittag-Leffler function play a crucial role in many branches of mathematics and applications, including fractional calculus, mathematical physics, and engineering. In this paper, we introduced an extended generalized Mittag-Leffler function that involved several well-known Mittag-Leffler functions as a special case. We also introduced an associated generalized fractional integral to obtain some estimates for fractional integral inequalities of the Hermite-Hadamard and Hermite-Hadamard-Fejér types. This article offered several analytical tools that will be useful to anyone working in this field. To demonstrate the veracity of our findings, we offered a few numerical and graphical examples. A few applications of modified Bessel functions and unitarily invariant norm of matrices were also given.}
}