Initial value problem for second-order random fuzzy differential equations

被引:5
作者
Ho Vu [1 ]
Le Si Dong [2 ]
机构
[1] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
[2] Banking Univ, Fac Math Econ, Ho Chi Minh City, Vietnam
关键词
fuzzy random variables; random fuzzy differential equations; second-order random fuzzy differential equations; generalized Hukuhara derivative; FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS; CAUCHY-PROBLEM; RANDOM-VARIABLES; EXISTENCE; UNIQUENESS; THEOREMS;
D O I
10.1186/s13662-015-0710-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper the second-order random fuzzy differential equations (SRFDEs) under generalized Hukuhara differentiability are introduced. Under suitable conditions we obtain the existence and uniqueness results of solutions to an SRFDE. To prove this assertion we use the idea of successive approximations. Some examples are given to illustrate these results.
引用
收藏
页码:1 / 23
页数:23
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