  Some Hermite-Hadamard's mid-point type inequalities related to Katugampola
fractional integrals are obtained where the first derivative of considered
mappings is Lipschitzian or convex. Also some mid-point type inequalities are
given for Lipschitzian mappings, with the aim of generalizing the results
presented in previous works. Finally as an application, some generalized
inequalities in connection with special means are provided.
