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Article type: Research Article
Authors: Van Hoa, Ngo; | Van Tri, Phan | Dao, Tran Trong | Zelinka, Ivan;
Affiliations: Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam | Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam | Division of MERLIN, Ton Duc Thang University, Ho Chi Minh City, Vietnam | Department of Computer Science, Faculty of Electrical Engineering and Computer Science, VSB-Technical University of Ostrava, Czech Republic
Note: [] Corresponding author. Ngo Van Hoa, Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam. E-mail: ngovanhoa_clt@yahoo.com
Abstract: In this paper, we establish the global existence and uniqueness results for fuzzy functional differential equations (FFDEs) by using two different methods. We have extended and generalized some comparison theorems and stability theorem for FFDEs with definition a new Lyapunov-like function. Some examples are given to illustrate these results.
Keywords: Fuzzy sets, fuzzy functional differential equations, strongly generalized Hukuhara derivative, stability theorems
DOI: 10.3233/IFS-141315
Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 1, pp. 393-409, 2015
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