Qaisar, ShahidMunir, ArslanNaeem, MuhammadBudak, Huseyin2025-10-112025-10-1120240354-5180https://doi.org/10.2298/FIL2416905Qhttps://hdl.handle.net/20.500.12684/21642Fractional calculus provides a significant generalization of classical concepts and overcomes the limitation of classical calculus in dealing with non-differentiability ff erentiability function. Implementing fractional operator to obtain new versions of classical outcomes is very intriguing topic of research in the mathematical analysis. The objective of the present study is to establish novel Hermite-Hadamard integral inequalities for twice differentiable ff erentiable function using Caputo-Fabrizio integral operator. In order to complete task, we start by demonstrating a new identity for Hermite-Hadamard inequality that serve as supporting result for our main finding. It has been observed that the obtained Hermite-Hadamard type inequalities have a relationship with previous results. In addition, we provide application to special means and graphical analysis to evaluate the accuracy of our results.en10.2298/FIL2416905Qinfo:eu-repo/semantics/openAccessSimpson inequalitys-convex functionconcave functionHolder inequalityPower-mean inequalityArticle3816590559232-s2.0-85207824626WOS:001337887100001Q3Q2