Existence and uniqueness results for fuzzy linear differential-algebraic equations

被引:10
作者
Alikhani, R. [1 ,2 ]
Bahrami, F. [1 ]
Bhaskar, T. Gnana [2 ]
机构
[1] Univ Tabriz, Dept Math, Tabriz, Iran
[2] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA
关键词
Differential-algebraic equations; Fuzzy differential equations; Initial value problems; NUMBER-VALUED FUNCTIONS;
D O I
10.1016/j.fss.2014.03.006
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We discuss the existence results for a fuzzy initial value problem of linear differential-algebraic equations and provide an explicit representation for the solution. A few illustrative examples are given. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:30 / 42
页数:13
相关论文
共 30 条
[11]   Discontinuous initial value problems for functional differential-algebraic equations of mixed type [J].
d'Albis, H. ;
Augeraud-Veron, E. ;
Hupkes, H. J. .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 253 (07) :1959-2024
[12]  
Dai L., 1989, LECT NOTES CONTROL I
[13]  
Dubois D., 1987, ANAL FUZZY INFORM, VI, P3
[14]   Fuzzy linear systems [J].
Friedman, M ;
Ming, M ;
Kandel, A .
FUZZY SETS AND SYSTEMS, 1998, 96 (02) :201-209
[15]   ELEMENTARY FUZZY CALCULUS [J].
GOETSCHEL, R ;
VOXMAN, W .
FUZZY SETS AND SYSTEMS, 1986, 18 (01) :31-43
[16]   An approach to modelling and simulation of uncertain dynamical systems [J].
Hullermeier, E .
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 1997, 5 (02) :117-137
[17]   A note on fuzzy differential equations [J].
Kaleva, O .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (05) :895-900
[18]   Periodic boundary value problems for first-order linear differential equations with uncertainty under generalized differentiability [J].
Khastan, A. ;
Nieto, J. J. ;
Rodriguez-Lopez, Rosana .
INFORMATION SCIENCES, 2013, 222 :544-558
[19]   New Results on Multiple Solutions for Nth-Order Fuzzy Differential Equations under Generalized Differentiability [J].
Khastan, A. ;
Bahrami, F. ;
Ivaz, K. .
BOUNDARY VALUE PROBLEMS, 2009,
[20]  
Kumaresan N., 2011, 2011 International Conference on Recent Trends in Information Technology (ICRTIT 2011), P1039, DOI 10.1109/ICRTIT.2011.5972291