Fractal Complex Analysis
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Date
2025
Journal Title
Journal ISSN
Volume Title
Publisher
University of Guilan
Abstract
In this paper, we begin by providing a concise overview of fractal calculus. We then explore the concepts of fractal complex numbers and functions, define the fractal complex derivative, and derive the fractal Cauchy-Riemann equations. Additionally, we introduce fractal contour integrals, offer illustrative examples, and present their visualizations. Finally, we examine and visualize the transformations of circles under fractal complex functions. © 2025 University of Guilan.
Description
Keywords
Fractal Calculus, Fractal Complex Derivative, Fractal Complex Function, Fractal Complex Number, Fractal Contour Integrals
Turkish CoHE Thesis Center URL
WoS Q
N/A
Scopus Q
Q4
Source
Journal of Mathematical Modeling
Volume
13
Issue
3
Start Page
675
End Page
684