%0 Journal Article %T A robust method for optimal control problems governed by system of Fredholm integral equations in mechanics %J Iranian Journal of Numerical Analysis and Optimization %I Ferdowsi University of Mashhad %Z 2423-6977 %A Ebrahimzadeh, A. %D 2023 %\ 06/01/2023 %V 13 %N 2 %P 243-261 %! A robust method for optimal control problems governed by system of Fredholm integral equations in mechanics %K Collocation method %K Lagrange polynomials %K optimal control %K System of Fredholm integral equation %K Convergence Analysis %R 10.22067/ijnao.2022.78543.1178 %X This essay considers an optimal control problem (OCP) governed by a system of Fredholm integral equations (FIE). In this paper, collocation approach with utilizing Lagrange polynomials is introduced to transform the OCP into a nonlinear programming problem (NLP). An efficient op-timization method in Mathematica software is utilized to solve NLP. The convergence analysis is discussed, which show the theoretical structure behind the propounded technique under some assumptions. In this es-say, computational outcomes are given to demonstrate the adaptability, forthrightness, and relationship of the calculations manufactured. A prac-tical real-world problem involving hanging chain in classical mechanic is also dissolved utilizing the approach proposed. %U https://ijnao.um.ac.ir/article_43053_ba958138a422e02e90e076807ba70bc7.pdf