Shahid Chamran University of AhvazJournal of Advanced Mathematical Modeling2251-808812420221222A computational approach for approximate optimal
control of nonlinear Volterra integral equationsA computational approach for approximate optimal
control of nonlinear Volterra integral equations5886011802910.22055/jamm.2023.42216.2109FAAkbarHashemi BorzabadiDepartment of Applied Mathematics, Faculty of Science, University of Science and Technology of
Mazandaran, Behshahr, IranJournal Article20221101In this paper, a new method for solving optimal control problems governed<br /><br />by nonlinear Volterra integral equations is presented. First by converting to<br /><br />a discretized form, the problem is considered as a quasi assignment problem and then an iterative method is applied to find approximate solution<br /><br />for discretized form of the integral equation. Next step using evolutionary<br /><br />algorithms, approximate solution of optimal control problems is obtained.<br /><br />An analysis for convergence of the proposed iterative method and its implementation for numerical examples are also given.In this paper, a new method for solving optimal control problems governed<br /><br />by nonlinear Volterra integral equations is presented. First by converting to<br /><br />a discretized form, the problem is considered as a quasi assignment problem and then an iterative method is applied to find approximate solution<br /><br />for discretized form of the integral equation. Next step using evolutionary<br /><br />algorithms, approximate solution of optimal control problems is obtained.<br /><br />An analysis for convergence of the proposed iterative method and its implementation for numerical examples are also given.https://jamm.scu.ac.ir/article_18029_3c15aeb4f22ddc3c972b5d2fb2b6e3fe.pdf