In this paper, by making use of a certain family of fractional derivative operators in the complex domain, we introduce and investigate a new subclass P τ,µ (k, δ, γ) of analytic and univalent functions in the open unit disk U. In particular, for functions in the class P τ,µ (k, δ, γ), we derive sufficient coefficient inequalities and coefficient estimates, distortion theorems involving the above-mentioned fractional derivative operators, and the radii of starlikeness and convexity. In addition, some applications of functions in the class P τ,µ (k, δ, γ) are also pointed out.