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Öğe New fractional integral inequalities for preinvex functions involving Caputo-Fabrizio operator(AIMS Press, 2021) Tariq, Muhammad; Ahmad, Hijaz; Shaikh, Abdul Ghafoor; Sahoo, Soubhagya Kumar; Khedher, Khaled Mohamed; Gia, Tuan NguyeIt’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.