Generalized shifted Chebyshev polynomials for fractional optimal control problems

Abstract The generalized shifted Chebyshev polynomials (GSCP) represent a novel class of basis functions that include free coefficients and control parameters. The GSCP are adopted to solve a class of fractional optimal control problems (FOCP). The corresponding operational matrices of derivatives are calculated for expanding the solution of the problem in terms of the GSCP. Numerical examples show the good performance of the algorithm.

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