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

DOI

10.1080/18756891.2014.967001How to use a DOI?

Keywords

Partial hyperbolic functional differential equations, fuzzy solution, local condition, boundary condition, fixed point, Zadeh’s extension principle

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.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Hoang Viet Long
AU  - Nguyen Thi Kim Son
AU  - Ha Thi Thanh Tam
AU  - Bui Cong Cuong
PY  - 2014
DA  - 2014/12/01
TI  - On the existence of fuzzy solutions for partial hyperbolic functional differential equations
JO  - International Journal of Computational Intelligence Systems
SP  - 1159
EP  - 1173
VL  - 7
IS  - 6
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2014.967001
DO  - 10.1080/18756891.2014.967001
ID  - Long2014
ER  -