Nonlinear fuzzy integro-differential equations, Impulsive functional, Nonlocal condition, Mild solution, Fixed point theorems, Applied mathematics. Quantitative methods, T57-57.97, Analysis, QA299.6-433

Abstract The aim of this paper is to study the existence, uniqueness, and continuous dependence of fuzzy solutions for first-order, nonlocal, impulsive, functional, nonlinear integro-differential equations by using Banach and Krasnoselskii–Schaefer type fixed point theorems. The theorems on the existence and uniqueness of fuzzy solutions for these problems with nonlocal conditions are presented under certain assumptions, and fuzzy theory is the main technique used to establish these results. Finally, an example is given to clarify the effectiveness of this theory.