English

Fractional integral inequalities via Atangana-Baleanu operators for convex and concave functions

Analysis of PDEs 2021-10-07 v1

Abstract

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 in [2]. In this study, firstly, a new identity by using Atangana-Baleanu fractional integral operators are 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

Keywords

Cite

@article{arxiv.2110.02244,
  title  = {Fractional integral inequalities via Atangana-Baleanu operators for convex and concave functions},
  author = {Ahmet Ocak Akdemir and Ali Karaoglan and Maria Alessandra Ragusa and Erhan Set},
  journal= {arXiv preprint arXiv:2110.02244},
  year   = {2021}
}