Advanced Mathematical Models & Applications

This study aims to present a practical model for solving a system of implicit integral equations using theoretical results in generalizations of Darbo's fixed point theorem, in which the functions and operators involved in the system belong to certain classes. We give several extensions of Darbo's fixed point theorem in m-dimensional space using some classes of functions. We also investigate the existence of a solution for m operators with m variables that satisfy Darbo's condition. In addition, we investigate the feasibility of a solution to a system of implicit integral equations. An example is presented to illustrate the practical application of our findings.