Results on Fekete-Szego Problem for Some New Subclasses of Univalent Analytic Functions with Fractional-Order Operators

We introduce some new subclasses of analytic functions which are univalent in an open unit disk by means of fractional calculus. The elemental interest is to explore the significance of fractional-order operators while formulating a few distinct subclasses of univalent analytic functions. Present work establishes the Fekete-Szego inequality for the proposed subclasses. In addition, some classical Fekete-Szego problems have also been retrieved and discussed as particular cases of the presented work. To make the suggested work more evident, an extremal function is also provided for which a sharp upper bound is attained.