New generalizations in the sense of the weighted non-singular fractional integral operator

Abstract

In this paper, we propose a new fractional operator which is based on the weight function for Atangana-Baleanu (AB)-fractional operators. A motivating characteristic is the generalization of classical variants within the weighted AB-fractional integral. We aim to establish Minkowski and reverse Hölder inequalities by employing weighted AB-fractional integral. The consequences demonstrate that the obtained technique is well-organized and appropriate. © 2020 The Author(s).