Fractal Complex Analysis

dc.authorscopusid 25122552100
dc.authorscopusid 57211987210
dc.authorscopusid 6602933984
dc.authorscopusid 56220030700
dc.authorwosid Khalili Golmankhaneh, Alireza/L-1554-2013
dc.authorwosid Rodriguez-Lopez, Rosana/A-5288-2013
dc.authorwosid Stamova, Ivanka/Aaq-1586-2020
dc.contributor.author Golmankhaneh, Alireza Khalili
dc.contributor.author Rodriguez-Lopez, Rosana
dc.contributor.author Stamova, Ivanka M.
dc.contributor.author Celik, Ercan
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, Alireza Khalili] Islamic Azad Univ, Dept Phys, Ur C, Orumiyeh 63896, West Azerbaijan, Iran; [Golmankhaneh, Alireza Khalili] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye; [Rodriguez-Lopez, Rosana] Univ Santiago de Compostela, Fac Matemat, Dept Estat Anal Matemat & Optimizac, Santiago De Compostela 10587, Spain; [Stamova, Ivanka M.] Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA; [Celik, Ercan] Kyrgyz Turkish Manas Univ, Dept Appl Math & Informat, 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. en_US
dc.description.woscitationindex Emerging Sources Citation Index
dc.identifier.doi 10.22124/jmm.2025.29566.2629
dc.identifier.endpage 684 en_US
dc.identifier.issn 2345-394X
dc.identifier.issn 2382-9869
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.volume 13 en_US
dc.identifier.wos WOS:001546030000012
dc.identifier.wosquality N/A
dc.language.iso en en_US
dc.publisher Univ 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 Number en_US
dc.subject Fractal Complex Function en_US
dc.subject Fractal Complex Derivative en_US
dc.subject Fractal Contour Integrals en_US
dc.title Fractal Complex Analysis en_US
dc.type Article en_US
dspace.entity.type Publication

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