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Original Articles

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

, , &
Pages 1159-1173 | Received 25 Aug 2013, Accepted 11 May 2014, Published online: 23 Sep 2014
 

Abstract

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 α−cuts of fuzzy solutions, we give some representations of the surfaces of fuzzy solutions.

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