A Numerical Approach for Fractional Optimal Control Problems by Using Ritz Approximation

Document Type : Special issue editorial


1 Department of Mathematics, Payame Noor University, Tehran, Iran

2 Department of Mathematics, Iran University of science and Technology, Tehran,Iran. Department of Mathematical Sciences, University of South Africa, UNISA0003,South Africa


In this article, Ritz approximation have been employed to obtain the numerical solutions of a class of the fractional optimal control problems based on the Caputo fractional derivative. Using polynomial basis functions, we obtain a system of nonlinear algebraic equations. This nonlinear system of equation is solved and the coefficients of basis polynomial are derived. The convergence of the numerical solution is investigated. Some numerical examples are presented which illustrate the theoretical results and the performance of the method.


  • Receive Date: 02 May 2019
  • Revise Date: 16 October 2019
  • Accept Date: 08 November 2019