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

Optimization and Control