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This paper presents an efficient numerical method for solving fractionaloptimal control problems using an operational matrix for a fractional wavelet.Using well-known formulae such as Caputo and Riemann-Liouville operators todetermine fractional derivatives and integral fractional wavelets, operationalmatrices were devised and utilised to solve fractional optimal controlproblems. The proposed method reduced the fractional optimal control problemsinto a system of algebraic equations. To validate the effectiveness of thepresented numerical approach, some illustrative problems were solved usingfractional Taylor and Taylor wavelets, and the approximate cost function valuederived by approximating state and control functions was compared. In addition,convergence rate and error bound of the proposed method have been derived.

A numerical technique for solving multi-dimensional fractional optimal control problems using fractional wavelet method