@article{Samraiz2025, 
author = {Muhammad Samraiz and Somia Zafar and Muath Awadalla and Hajer Zaway},
title = {Reverse fractional integral inclusions and generic        η          ℏ       interval-valued convexity},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {7},
pages = {16200-16232},
keywords = {reverse Hölder's inclusion, reverse Minkowski inclusion, Hermite–Hadamard-type inclusions, tempered fractional integral operators, interval-valued mappings},
url = {https://www.sciopen.com/article/10.3934/math.2025725},
doi = {10.3934/math.2025725},
abstract = {This paper presents the development of reverse Minkowski and reverse Hölder's fractional integral inclusions. We propose a generic class of        η          ℏ       interval-valued    (      I    .      V    ) convex functions, which unifies various existing classes. Additionally, we obtain a discrete Jensen-type inclusion within this convexity setup. By leveraging this advanced convexity structure together with tempered fractional integral operators, we derive new Hermite–Hadamard (       H  -       H  )-type, Fejér-       H  -       H  -type, and other fractional inclusions. Moreover, we explore the broader significance of our results, supporting them with graphical visualizations. The applications of our results are demonstrated through average value computations.}
}