  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
$\mathcal{P}_{\tau,\mu}(k,\delta,\gamma)$ of analytic and univalent functions
in the open unit disk $\mathbb{U}$. In particular, for functions in the class
$\mathcal{P}_{\tau,\mu}(k,\delta,\gamma)$, we derive sufficient coefficient
inequalities, 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
$\mathcal{P}_{\tau,\mu}(k,\delta,\gamma)$ are also pointed out.
