%0 Journal Article
%T A spectral method based on the second kind Chebyshev polynomials for solving a class of fractional optimal control problems
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Nemati, Somayeh
%D 2016
%\ 11/01/2016
%V 04
%N 1
%P 15-27
%! A spectral method based on the second kind Chebyshev polynomials for solving a class of fractional optimal control problems
%K Fractional optimal control problems
%K Caputo fractional derivative
%K Riemann-Liouville fractional integral
%K Second-kind Chebyshev polynomials
%K Operational matrix
%R
%X In this paper, we consider the second-kind Chebyshev polynomials (SKCPs) for the numerical solution of the fractional optimal control problems (FOCPs). Firstly, an introduction of the fractional calculus and properties of the shifted SKCPs are given and then operational matrix of fractional integration is introduced. Next, these properties are used together with the Legendre-Gauss quadrature formula to reduce the fractional optimal control problem to solving a system of nonlinear algebraic equations that greatly simplifies the problem. Finally, some examples are included to confirm the efficiency and accuracy of the proposed method.
%U https://scma.maragheh.ac.ir/article_20586_9a66f07fa643034de1eac90f764c105c.pdf