Golmankhaneh, A.K.Rodríguez-López, R.Stamova, I.M.Çelik, E.2025-07-302025-07-3020252345-394X10.22124/jmm.2025.29566.26292-s2.0-105010723585https://doi.org/10.22124/jmm.2025.29566.2629https://hdl.handle.net/20.500.14720/28128In 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.eninfo:eu-repo/semantics/closedAccessFractal CalculusFractal Complex DerivativeFractal Complex FunctionFractal Complex NumberFractal Contour IntegralsArticle133N/AQ4675684