Abstract
AbstractThis paper provides a numerical technique for evaluating the approximate solution of fractional optimal control problems with the Caputo‐Fabrizio (CF) fractional integro‐differential equation. First, due to the Gegenbauer polynomials definition and CF‐fractional derivative, we present the modified operational matrix and complement vector of integration and CF‐fractional derivative. Then, the corresponding discretization of the problem is obtained with the help of the optimization method and the Legendre‐Gauss‐Lobatto (LGL) quadrature rule. The technique of obtaining the proposed matrices and LGL‐quadrature method leads to obtaining the approximate solution with high precision. Moreover, the error of the performance index obtained by the computational method is investigated. Finally, we implement the methodology in several examples. So that, the effect of various parameters defined in the method is illustrated in tables and plots.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
