Applications of generalized fixed points theorems to the existence of uncertainly hyperbolic partial differential equations with finite delay

We study the existence and uniqueness of solutions for a boundary value problem associated with a class of fuzzy hyperbolic partial differential equations with finite delay. We establish a more general definition of integral solutions for the boundary value problem and, using some results of fixed point of weakly contractive mappings on partially ordered metric spaces, we prove that the existence of just a lower or an upper solution is enough to prove the existence and uniqueness of fuzzy solutions in the setting of a generalized Hukuhara derivative. Our existence results generalize, extend, and improve different results existing in the literature about this problem.