Certain Weighted Fractional Inequalities via the Caputo–Fabrizio Approach

Abstract

The Caputo–Fabrizio fractional integral operator is one of the important notions of fractional calculus. It is involved in numerous illustrative and practical issues. The main goal of this paper is to investigate weighted fractional integral inequalities using the Caputo–Fabrizio fractional integral operator with non-singular e−1−δδ(ϰ−s), 0δ1. Furthermore, based on a family of n positive functions defined on [0,∞), we investigate some new extensions of weighted fractional integral inequalities.

Keywords

• inequalities
• Caputo–Fabrizio fractional integral operator
• weighted fractional inequalities