Research Article Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially ðs, mÞ-Convex Functions Shuya Guo, 1 Yu-Ming Chu , 2,3 Ghulam Farid, 4 Sajid Mehmood, 5 and Waqas Nazeer 6 1 School of Mathematics and Big Data, Chongqing University of Arts and Sciences, Chongqing 402160, China 2 Department of Mathematics, Huzhou University, Huzhou 313000, China 3 Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, China 4 Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan 5 Government Boys Primary School Sherani, Hazro, Attock, Pakistan 6 Department of Mathematics, GC University Lahore, Pakistan Correspondence should be addressed to Yu-Ming Chu; chuyuming@zjhu.edu.cn Received 10 April 2020; Accepted 11 July 2020; Published 7 August 2020 Academic Editor: Hugo Leiva Copyright © 2020 Shuya Guo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The aim of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities for exponentially ðs, mÞ-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler function in their kernels via a monotone function. The presented results in particular contain a number of fractional Hadamard and Fejér-Hadamard inequalities for s-convex, m-convex, ðs, mÞ-convex, exponentially convex, exponentially s-convex, and convex functions. 1. Introduction and Preliminaries Integral operators play an important role in the subject of mathematical analysis. Fractional integral operators have been proven very useful in almost all fields of science and engineering. By using fractional integral operators, a lot of well-known inequalities have been studied, and in the consequent, they are generalized and extended in the subject of fractional calculus. Fractional integral inequal- ities provide support in the formation of modeling of physical phenomenons. They also provide their role in the uniqueness of solutions of fractional boundary value problems. A large number of fractional integral inequal- ities exist in literature due to fractional integral operators (see, [1–5]). The Riemann-Liouville fractional integral operators are the first formulation of fractional integral operators of nonintegral order. Definition 1 [6]. Let η ∈ L 1 ½a, b. The Riemann-Liouville fractional integral operators J σ a+ η and J σ b− η of order σ ∈ ℂðℛðσÞ >0Þ are defined by J σ a+ η ð Þ u ðÞ = 1 Γσ ðÞ ð u a u − z ð Þ σ−1 η z ðÞdz, ð1Þ J σ b− η ð Þ u ðÞ = 1 Γσ ðÞ ð b u z − u ð Þ σ−1 η z ðÞdz, ð2Þ where ΓðσÞ = Ð ∞ 0 e −z z σ−1 dz. Next, we give the definition of generalized fractional integral operators containing the Mittag-Leffler function in their kernels as follows. Hindawi Journal of Function Spaces Volume 2020, Article ID 2410385, 10 pages https://doi.org/10.1155/2020/2410385