The aim of the present paper is to show several properties of functions belonging to a subclass $M^p_{n,\Omega}(A,B,\lambda,b)$ (where $b$ is complex number with $\mathbf{Re}(b) > 0$ and $A$ ve $B$ are two arbitrary constants with $−1\leq B < A \leq 1$). Coefficient estimates and some distortion theorems for this class of functions are obtained. For this class we also derive the radii of close-to-convexity, starlikeness, and convexity. Further, an application involving fractional calculus for functions in $M^p_{n,\Omega}(A,B,\lambda,b)$ is given.