Author/Authors :
Ramezanpour, A Department of Mathematics - Payame Noor University, Tehran, Iran , Reihani, P Department of Mathematics - Payame Noor University, Tehran, Iran , Vahidi, J Department of Mathematics - Iran University of science and Technology, Tehran,Iran , Soltanian, F Department of Mathematics - Payame Noor University, Tehran, Iran
Abstract :
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.
Keywords :
Polynomial basis functions , Optimal Control Problems , Caputo fractional derivative , Fractional Optimal Control Problems
