Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions

By Ahmet Ocak Akdemir, Ali Karaoglan, M. Alessandra Ragusa, Erhan Set. Journal of Function Spaces, 2021

54 citations recorded by the source corpus.

Recently, many fractional integral operators were introduced by different mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was defined by Atangana and Baleanu (Atangana and Baleanu, 2016). In this study, firstly, a new identity by using Atangana-Baleanu fractional integral operators is proved. Then, new fractional integral inequalities have been obtained for convex and concave functions with the help of this identity and some certain integral inequalities.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/2295daf1415d22be387a42bbd84118abfb63d942