Some Novel Versions of Fractional Hermite–Hadamard-Mercer Type Inequalities with Matrix Applications

In this study, we explore several fractional Hermite-Hadamard (H-H)-Mercer inequalities for interval-valued functions through the use of a generalized fractional integral operator (GFIO).Furthermore, we examine new variations of the H-H-Mercer inequality in relation to GFIO.Various examples are included to support our assertions.The results could offer new insights into a broad spectrum of integral inequalities for fractional fuzzy systems within the framework of interval analysis, along with the optimization issues they raise.Moreover, some applications on matrices are illustrated.