Generalized AB-Fractional Operator Inclusions of Hermite–Hadamard’s Type via Fractional Integration

The aim of this research is to explore fractional integral inequalities that involve interval-valued preinvex functions. Initially, a new set operators introduced uses the extended generalized Mittag-Leffler function Eμ,α,lγ,δ,k,c(τ;p) as kernel in interval domain. Additionally, form Atangana–Baleanu operator defined using same kernel, which unifies multiple existing operators. By varying parameters Eμ,α,lγ,δ,k,c(τ;p), several are obtained. This study then utilizes AB and property functions establish Hermite–Hadamard, Pachapatte, Hermite–Hadamard–Fejer inequalities. results supported by numerical examples, graphical illustrations, special cases.