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<p>This manuscript introduces a highly effective method for addressing variable-order modified Caputo-Fabrizio multi-dimensional optimal control problems using fractional-order Taylor wavelets. The technique converts the optimal control problem into a system of algebraic equations using variable-order operational matrices and collocation points. The Lagrange multiplier method is applied to solve these equations, resulting in an optimal solution. The article also provides a convergence analysis and error bounds for the proposed approach. Various examples are examined to demonstrate the high accuracy of the numerical method.</p>

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Wavelet Technique for Variable-Order Modified Caputo-Fabrizio Optimal Control Problems

  • 期刊论文

  • 发表日期：

    2025年9月29日

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  • Akanksha Singh,
  • Ankur Kanaujiya,
  • Jugal Mohapatra

摘要

This manuscript introduces a highly effective method for addressing variable-order modified Caputo-Fabrizio multi-dimensional optimal control problems using fractional-order Taylor wavelets. The technique converts the optimal control problem into a system of algebraic equations using variable-order operational matrices and collocation points. The Lagrange multiplier method is applied to solve these equations, resulting in an optimal solution. The article also provides a convergence analysis and error bounds for the proposed approach. Various examples are examined to demonstrate the high accuracy of the numerical method.