Abstract: The author established a RiemannLiouville fractional integral identity, and used the definition of s-convex- function and Holder inequality etc to establish some new HermiteHadamard type inequalities for differentiable s-convex mappings that were connected with the RiemannLiouville fractional integrals.

Key words: integral inequality, s-convex function, Hadamard’s inequality, Riemann-Liouville fractional integral