Applications of Fuzzy Differential Subordination for a New Subclass of Analytic Functions

초록

This work is concerned with the branch of complex analysis known as geometric function theory, which has been modified for use in the study of fuzzy sets. We develop a novel operator (Formula presented.) in the open unit disc (Formula presented.) using the Noor integral operator and the generalized Sălăgean differential operator. First, we develop fuzzy differential subordination for the operator (Formula presented.) and then, taking into account this operator, we define a particular fuzzy class of analytic functions in the open unit disc (Formula presented.), represented by (Formula presented.). Using the idea of fuzzy differential subordination, several new results are discovered that are relevant to this class. The fundamental theorems and corollaries are presented, and then examples are provided to illustrate their practical use. © 2023 by the authors.

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