Abstract
In the geometric function theory much attention is paid to various fractional operators (differential and integrals) mapping the class of univalent functions and its subclasses into themselves. The classical definitions of fractional operators and their generalizations have fruitfully been applied in obtaining, for example, the characterization properties, coefficient estimates, distortion inequalities and convolution structures for various subclasses of analytic functions and the works in the research monographs. Here, we introduce a generalization for the well known fractional operators in the unit disk i.e. U:={z: |z|
