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Fractal complex analysis | ||
| Journal of Mathematical Modeling | ||
| مقاله 13، دوره 13، شماره 3، مهر 2025، صفحه 695-704 اصل مقاله (991.72 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2025.29566.2629 | ||
| نویسندگان | ||
| Alireza Khalili Golmankhaneh* 1؛ Rosana Rodríguez-López2؛ Ivanka M. Stamova3؛ Ercan Çelik4 | ||
| 1Department of Physics, Ur.C., Islamic Azad University, Urmia 63896, West Azerbaijan, Iran, & Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080-Campus, Van, Turkey | ||
| 2Departamento de Estatística, Estatística, Análise Matemática e Optimización, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, 10587, Spain | ||
| 3Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA | ||
| 4Department of Applied Mathematics and Informatics, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan | ||
| چکیده | ||
| 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. dditionally, 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. | ||
| کلیدواژهها | ||
| Fractal calculus؛ fractal complex number؛ fractal complex function؛ fractal complex derivative؛ fractal contour integrals | ||
| مراجع | ||
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