On the existence of fuzzy solutions for partial hyperbolic functional differential equations

In this paper, we consider the boundary valued problems for fuzzy partial hyperbolic functional differential equations with local and integral boundary conditions. A new weighted metric is used to investigate the existence and uniqueness of fuzzy solutions for these problems in a complete fuzzy metric space. Our results are demonstrated in some numerical examples in which we use the same strategy as Buckley-Feuring to build fuzzy solutions from fuzzifying the deterministic solutions. Then by using the continuity of the Zadeh's extension principle combining with numerical simulations for alpha-cuts of fuzzy solutions, we give some representations of the surfaces of fuzzy solutions.