Quantum–Fractal–Fractional Operator in a Complex Domain

Quantum–Fractal–Fractional Operator in a Complex Domain

In this effort, we extend the fractal–fractional operators into the complex plane together with the quantum calculus derivative to obtain a quantum–fractal–fractional operators (QFFOs). Using this newly created operator, we create an entirely novel subclass of analytical functions in the unit disk....

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Bibliographic Details
Main Authors: Adel A. Attiya, Rabha W. Ibrahim, Ali H. Hakami, Nak Eun Cho, Mansour F. Yassen
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Axioms
Subjects:
fractal–fractional operator
fractional calculus
quantum calculus
analytic function
differential subordination
univalent function
Online Access:https://www.mdpi.com/2075-1680/14/1/57
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