Afzal, WaqarAbbas, MujahidHamali, WaleedAli M. MahnashiDe la Sen, M.2024-06-132024-06-132023-10-15Afzal,W.; Abbas,M.; Hamali, W.; Mahnashi, M.M.; De la Sen, M. Hermite–Hadamard-Type Inequalities via Caputo–Fabrizio Fractional Integral for h-Godunova–Levin and (h1, h2)-Convex Functions. Fractal and Fractional 2023, 7, 687. https://DOI.org/10.3390/fractalfract7090687.10.3390/fractalfract70906872504-3110 (online)http://hdl.handle.net/2263/96456This note generalizes several existing results related to Hermite–Hadamard inequality using h-Godunova–Levin and (h1, h2)-convex functions using a fractional integral operator associated with the Caputo–Fabrizio fractional derivative. This study uses a non-singular kernel and constructs some new theorems associated with fractional order integrals. Furthermore, we demonstrate that the obtained results are a generalization of the existing ones. To demonstrate the correctness of these results, we developed a few interesting non-trivial examples. Finally, we discuss some applications of our findings associated with special means.en2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.Hermite–Hadamard inequalityCaputo–Fabrizio operator(H1, h2)-convexityH-Godunova–LevinArticle