The concepts of fuzzy differential subordination and superordination were introduced in the geometric function theory as generalizations classical notions superordination. Fractional calculus is combined present paper with quantum aspects for obtaining new subordinations superordinations. For investigated superordinations, best subordinates dominants obtained, respectively. Furthermore, interes...

An important problem in complex analysis is to determine properties of the image an analytic function p defined on unit disc U from inclusion or containment relation involving several derivatives p. Results dealing with differential inclusions have led development field Differential Subordinations, while results containments Superordinations. In this article, authors consider a mixed consisting...

Applications of the Atangana–Baleanu fractional integral were considered in recent studies related to geometric function theory obtain interesting differential subordinations. Additionally, multiplier transformation was used many studies, providing elegant results. In this paper, a new operator is defined by combining those two prolific functions. The newly applied for introducing subclass anal...