@article{Tariq2022, 
author = {Muhammad Tariq and Hijaz Ahmad and Abdul Ghafoor Shaikh and Soubhagya Kumar Sahoo and Khaled Mohamed Khedher and Tuan Nguyen Gia},
title = {New fractional integral inequalities for preinvex functions involving Caputo-Fabrizio operator},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {3},
pages = {3440-3455},
keywords = {Caputo-Fabrizio fractional integral, preinvex functions, Hermite-Hadamard inequality, Hölder inequality, Hölder-İşcan inequality, Power-mean inequality},
url = {https://www.sciopen.com/article/10.3934/math.2022191},
doi = {10.3934/math.2022191},
abstract = {It'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.}
}