Fractal Complex Analysis
| dc.authorscopusid | 25122552100 | |
| dc.authorscopusid | 57211987210 | |
| dc.authorscopusid | 6602933984 | |
| dc.authorscopusid | 56220030700 | |
| dc.contributor.author | Golmankhaneh, A.K. | |
| dc.contributor.author | Rodríguez-López, R. | |
| dc.contributor.author | Stamova, I.M. | |
| dc.contributor.author | Çelik, E. | |
| dc.date.accessioned | 2025-07-30T16:33:30Z | |
| dc.date.available | 2025-07-30T16:33:30Z | |
| dc.date.issued | 2025 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Golmankhaneh A.K.] Department of Physics, Ur.C., Islamic Azad University, West Azerbaijan, Urmia, 63896, Iran, Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, Campus, Van, 65080, Turkey; [Rodríguez-López R.] Departamento de Estatística, Análise Matemática e Optimización, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, 10587, Spain; [Stamova I.M.] Department of Mathematics, University of Texas at San Antonio, San Antonio, 78249, TX, United States; [Çelik E.] Department of Applied Mathematics and Informatics, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan | en_US |
| dc.description.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. | en_US |
| dc.identifier.doi | 10.22124/jmm.2025.29566.2629 | |
| dc.identifier.endpage | 684 | en_US |
| dc.identifier.issn | 2345-394X | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopus | 2-s2.0-105010723585 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 675 | en_US |
| dc.identifier.uri | https://doi.org/10.22124/jmm.2025.29566.2629 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/28128 | |
| dc.identifier.volume | 13 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.language.iso | en | en_US |
| dc.publisher | University of Guilan | en_US |
| dc.relation.ispartof | Journal of Mathematical Modeling | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractal Calculus | en_US |
| dc.subject | Fractal Complex Derivative | en_US |
| dc.subject | Fractal Complex Function | en_US |
| dc.subject | Fractal Complex Number | en_US |
| dc.subject | Fractal Contour Integrals | en_US |
| dc.title | Fractal Complex Analysis | en_US |
| dc.type | Article | en_US |