### Applications of Fractional Derivative on a Differential Subordinations and Superordinators for Analytic Functions Associated with Differential Operator

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**Authors:**A. K. WANAS AND M. DARUS

**DOI:**10.46793/KgJMat2103.379W

**Abstract:**

The purpose of this paper is to derive subordination and superordination results involving fractional derivative of diﬀerential operator for analytic functions in the open unit disk. These results are applied to obtain sandwich results. Our results extend corresponding previously known results.

**Keywords:**

Analytic functions, diﬀerential subordination, diﬀerential superordination, fractional derivative, diﬀerential operator.

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