Some novel fractional Milne-type inequalities for twice differentiable s−convex functions in the second sense

In this paper, a special identity for twice differentiable functions, which is available in the literature, is utilized. By combining this identity with Riemann-Liouville fractional integrals, various fractional Milne-type inequalities are obtained for functions whose second derivatives in absolute value are s−convex in the second sense. Moreover, Hölder and Young inequalities are used to prove the different and original results. These approaches contribute to the analysis of s−convex functions and offer new perspectives in the field of fractional analysis.