Hermite-Hadamard Fractional Integral Inequalities via Abel-Gontscharoff Green’s Function

The Hermite-Hadamard inequalities for κ-Riemann-Liouville fractional integrals (R-LFI) are presented in this study using a relatively novel approach based on Abel-Gontscharoff Green’s function. In new technique, we first established some integral identities. Such identities used to obtain results monotonic functions whose second derivative is convex (concave) absolute value. Some previously published obtained as special cases of our main results. Various applications consequences also explored means and trapezoid-type formulae.