Caputo fractional derivative operational matrices of Legendre and Chebyshev wavelets in fractional delay optimal control

What is it about?

The Caputo derivative operational matrices of Chebyshev and Legendre wavelets are introduced. Using these operational matrices, a new quadratic programming wavelet-based method without doing any integration operation for finding solutions of quadratic optimal control of traditional linear/nonlinear fractional time-delay constrained/unconstrained systems is introduced. General strategies for handling different types of the optimal control problems are proposed.

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