OICC Press Mathematical Sciences 2251-7456 17 2 (June 2023) 2021 10 29 On the fractional integral inclusions having exponential kernels for interval-valued convex functions 10.1007/s40096-021-00445-x EN Taichun Zhou Department of Mathematics, College of Science, China Three Gorges University, Yichang, CN Zhengrong Yuan Department of Mathematics, College of Science, China Three Gorges University, Yichang, CN Tingsong Du Department of Mathematics, College of Science, China Three Gorges University, Yichang, CN Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, CN Journal Article 2021 10 29 Abstract The purpose of the present paper is to establish certain fractional integral inclusions having exponential kernels, which are related to the Hermite–Hadamard, Hermite–Hadamard–Fejér, and Pachpatte type inequalities. These results allow us to obtain a new class of inclusions which can be viewed as some substantial generalizations of the previously reported results. Also, the graphical representations for the results are utilized to identify the correctness of the investigated inclusion relations that occur with the change of the parameter α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document} .