New classes of uniformly convex functions of fractional power on Banach space

Abstract

The aim of this paper is to define new certain subclasses of analytic functions of fractional parameters in the well-known unit disk \(\mathbb{U}\).  Then introduce and study a new integral operator type fractional in the sense of Noor integral on Banach space.  In addition, some of its applications are discussed by utilizing a Owa-Hadamard product.