On the Existence and Uniqueness of Solutions to Delay Partial Differential Equations with Uncertainty

Intuitionistic fuzzy partial differential equations with delay, one type of uncertain differential equations, are a very important field of study in theoretical and applications researches. Our aim in this paper is to establish suitable conditions for the existence and uniqueness of intuitionistic fuzzy solutions for delay partial differential equations with local initial conditions on a new weighted metric space. Our results are based on the properties of Banach fixed-point theorem.