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Browsing by Author "Golmankhaneh, A.K."

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    Article
    Fractal Complex Analysis
    (University of Guilan, 2025) Golmankhaneh, A.K.; Rodríguez-López, R.; Stamova, I.M.; Çelik, E.
    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.
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    Article
    On Homogeneous System of Fractal Differential Equations
    (Springer, 2025) Golmankhaneh, A.K.; Bongiorno, D.
    In this paper, a homogeneous system of α-order linear fractal differential equation is defined, and the set of its fundamental solutions through the corresponding Wronskian matrix is described. Finally, the solutions of some assigned autonomous homogeneous systems are plotted to show the details previously proved. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.