Our conference objective is to tackle the challenges hindering the furtherance of Integral Equations and Operator Analysis with modern and workable solutions. Through every lecture, presentation, and event, we aim to advance the same field and address the most pressing needs of the hour. At (ICIEOA - 26), our participants will gather together to achieve collective priorities, including the dissemination of knowledge generated through international research studies and strengthening the global Integral Equations and Operator Analysis community. Each session has been meticulously designed to help participants fulfill these goals, as well as their personal objectives.