1. New fractional integral inequalities for preinvex functions involving Caputo-Fabrizio operator
- Author
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Muhammad Tariq, Hijaz Ahmad, Abdul Ghafoor Shaikh, Soubhagya Kumar Sahoo, Khaled Mohamed Khedher, and Tuan Nguyen Gia
- Subjects
caputo-fabrizio fractional integral ,preinvex functions ,hermite-hadamard inequality ,hölder inequality ,hölder-i̇şcan inequality ,power-mean inequality ,Mathematics ,QA1-939 - 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. more...
- Published
- 2022
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