In this paper we establish some new inequalities of Ostrowski type for exponentially s-convex functions and s-convex functions on time scale. We also make comparison of our new results with already existing results by imposing some conditions.

In this paper, firstly, Hermite-Hadamard inequality via s-convex functions in the second sense using Caputo-Fabrizio fractional integral operator is established. We also compare our results with the existing ones. It is also shown that the obtained results are a generalization of the existing results. Finally, we give their applications to special means.