On Novel Developments of Mean-Type Fractional Integral Inequalities and Trapezoid Type Error Bounds

Abstract

In this article, we establish fractional integral inequalities based on fundamental integral identities involving the second-order derivatives of a given function. We utilize specific functions to explore these inequalities and illustrate their 2D and 3D graphs along with corresponding table values providing evidence for the validity of the obtained results. As applications, we present trapezoid bounds as error estimates for the obtained results. Many limiting outcomes are presented as remarks by drawing connections with the existing findings in the literature.