Refined Hermite–Hadamard Type Inequalities via the Extended Atangana–Baleanu Fractional Integral

In this study, we obtain new Hermite–Hadamard type inequalities involving an extended form of the Atangana–Baleanu fractional integral operator having Mittag-Leffler kernels. The approach is based on a suitable integral identity for differentiable functions together with the convexity of the absolute value of the first derivative. Within this framework, we extend the classical Hermite–Hadamard inequality to a fractional setting governed by the parameters α∈(0,1), β∈(0,1], and λ>0.