A new class of fractional inequalities through the convexity concept and enlarged Riemann–Liouville integrals

Abstract

Abstract Fractional inequalities play a crucial role in building mathematical mechanisms and their related solution functions across the majority of practical science domains. A variety of mathematical disciplines are significantly impacted by convexity as well. In this article, we describe and verify many new fractional inequalities using a thorough kind of Riemann–Liouville integral and the convexity criterion of the functions. Our approach for dealing with fractional integral inequalities is clear and easy to use, and the current study is a new addition to the literature. Additionally, it is simple to observe that all the inequalities produced are extensive and may be broken down into several and different inequalities that were previously in the literature.