Abstract
In current continuation, we have incorporated the notion of s-(alpha,m)-convex functions and have established new integral inequalities. In order to generalize Hermite-Hadamard-type inequalities, some new integral inequalities of Hermite-Hadamard and Simpson type using s - (alpha, m)-convex function via Riemann-Liouville fractional integrals are obtained that reproduce the results presented by (Appl. Math. Lett. 11(5):91-95, 1998; Comput. Math. Appl. 47(2-3): 207-216, 2004; J. Inequal. Appl. 2013:158, 2013). Applications to special means are also provided.