  This paper presents an efficient numerical technique for solving
multi-dimensional fractional optimal control problems using fractional-order
generalized Bernoulli wavelets. The numerical results obtained by this method
have been compared with the results obtained by the method using orthonormal
Bernoulli wavelets. Using fractional-order generalized Bernoulli wavelets,
product and integral operational matrices have been obtained. By using these
operational matrices, the multi-dimensional fractional optimal control problems
have been reduced into a system of algebraic equations. To confirm the
efficiency of the proposed numerical technique involving fractional-order
generalized Bernoulli wavelets, numerical problems have been solved by using
both orthonormal Bernoulli wavelets and fractional-order generalized Bernoulli
wavelets and obtaining an approximate cost function value, which has been found
by approximating state and control functions. In addition, the convergence rate
and error bound of the proposed numerical method have also been derived.
