On Janowski Starlike Functions

For analytic functions[inline-graphic not available: see fulltext] in the open unit disc[inline-graphic not available: see fulltext] with[inline-graphic not available: see fulltext] and[inline-graphic not available: see fulltext], applying the fractional calculus for[inline-graphic not available: see fulltext], a new fractional operator[inline-graphic not available: see fulltext] is introduced. Further, a new subclass[inline-graphic not available: see fulltext] consisting of[inline-graphic not available: see fulltext] associated with Janowski function is defined. The objective of the present paper is to discuss some interesting properties of the class[inline-graphic not available: see fulltext].