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

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.