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

被引：0
|
作者：
Hoang Viet Long
Nguyen Thi Kim Son
Ha Thi Thanh Tam
Bui Cong Cuong
机构：
[1] University of Transport and Communications,Department of Basic Science
[2] Hanoi University of Education,Department of Mathematics
[3] Vietnamese Academy of Science and Technology,Institute of Mathematics
来源：
International Journal of Computational Intelligence Systems | 2014年 / 7卷
关键词：
Partial hyperbolic functional differential equations; fuzzy solution; local condition; boundary condition; fixed point; Zadeh’s extension principle;
D O I：
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摘要：
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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页码：1159 / 1173
页数：14
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