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<p>This paper applies the Variational Iteration Method (VIM) to solve first, second, and higher <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\alpha\)</EquationSource> </InlineEquation>-order fractal differential equations. Illustrative examples, including fractal equations with specified initial conditions, are provided, along with graphical representations, to demonstrate the method’s effectiveness in producing accurate and rapidly convergent approximations for fractal systems.</p>

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Variational Iteration Method for Fractal Differential Equations

  • 期刊论文

  • 发表日期：

    2026年2月4日

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  • Alireza Khalili Golmankhaneh

摘要

This paper applies the Variational Iteration Method (VIM) to solve first, second, and higher \(\alpha\) -order fractal differential equations. Illustrative examples, including fractal equations with specified initial conditions, are provided, along with graphical representations, to demonstrate the method’s effectiveness in producing accurate and rapidly convergent approximations for fractal systems.