Analysis of Fractal Complex Differential Equations Using the Homotopy Analysis Method

Muhammed Emin Batuhan and Ercan Çelik

Journal of Mathematics, 2026, vol. 2026, 1-11

Abstract: This study investigates fractal complex differential equations using the homotopy analysis method (HAM). The method provides an effective analytical approach. The fundamental concepts of fractal complex calculus and the theoretical framework of HAM are briefly presented. The results are supported by graphical representations, h-curve analysis, and error analysis, including relative error measures, which indicate that HAM provides accurate and convergent approximate solutions for the considered examples.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8281278

DOI: 10.1155/jom/8281278

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