Tariq, MuhammadAhmad, HijazShaikh, Abdul GhafoorSahoo, Soubhagya KumarKhedher, Khaled MohamedGia, Tuan Nguye2022-02-012022-02-012021https://hdl.handle.net/11467/5178https://doi.org/10.3934/math.2022191It’s undeniably true that fractional calculus has been the focus point for numerous researchers in recent couple of years. The writing of the Caputo-Fabrizio fractional operator has been on many demonstrating and real-life issues. The main objective of our article is to improve integral inequalities of Hermite-Hadamard and Pachpatte type incorporating the concept of preinvexity with the Caputo-Fabrizio fractional integral operator. To further enhance the recently presented notion, we establish a new fractional equality for differentiable preinvex functions. Then employing this as an auxiliary result, some refinements of the Hermite-Hadamard type inequality are presented. Also, some applications to special means of our main findings are presented.eninfo:eu-repo/semantics/openAccessCaputo-Fabrizio fractional integralPreinvex functionsHermite-Hadamard inequalityHolder inequalityPower-mean inequalityArticle7334403455Q1WOS:00072748940001110.3934/math.2022191