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Analysis of Fractal Complex Differential Equations Using the Homotopy Analysis Method

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  • Muhammed Emin Batuhan
  • Ercan Çelik

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.

Suggested Citation

  • Muhammed Emin Batuhan & Ercan Çelik, 2026. "Analysis of Fractal Complex Differential Equations Using the Homotopy Analysis Method," Journal of Mathematics, Hindawi, vol. 2026, pages 1-11, October.
    • Handle: RePEc:hin:jjmath:8281278
    DOI: 10.1155/jom/8281278
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