Ritz approximation for the fractional optimal control problems

The manuscript deals with the fractional optimal control problems (FOCPs) based on the Caputo fractional derivativeby the Ritz method. To use this method, we transform the FOCPsinto an optimization problem and obtain the system of nonlinear algebraic equations. By polynomial basis functions, we approximatesolutions. Then, we have the coefficients of polynomial expansionsby solving the system of nonlinear equations. Numerical examplesare presented which illustrate the performance of the method.