In this paper, the authors introduce and investigate the various prop-erties and characteristics of the subclass M+n (α,β) of analytic functions with positive coefficients. A characteristic, several inclusion relation-ships, coefficient estimates, Hadamard products, distortion theorems,covering theorems and (n,δ)-neighborhoods are proven here for this function class. Furthermore, some interesting distortion theorems for the Srivastava-Saigo-Owa fractional integral operator are also obtained.