Existence and uniqueness of intuitionistic fuzzy solution for semilinear intuitionistic fuzzy integro-differential equations with nonlocal conditions

Abstract

n this paper, we study the existence and uniqueness of an intuitionistic fuzzy solution for semi-linear intuitionistic fuzzy integro-differential equations with non-local conditions using the Banach fixed point theorem. Theorem on the existence and uniqueness of intuitionistic fuzzy solution for these problems with nonlocal conditions are presented under certain assumptions. Finally, an example is established to illustrate the effectiveness of this theorem.