Examining the Hermite–Hadamard Inequalities for k-Fractional Operators Using the Green Function

For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in literature. In this regard, paper presents inequalities for operators by using a novel method based on Green’s function. Additionally, applying these identities to convex and monotone functions, new type are established. Furthermore, different form of also obtained approach. conclusion, we believe that approach presented will inspire more research area.