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.
机构:
Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USAUniv Santiago de Compostela, Fac Matemat, Santiago De Compostela 15782, Spain
Agarwal, Ravi P.
;
Lakshmikantham, V.
论文数: 0引用数: 0
h-index: 0
机构:
Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USAUniv Santiago de Compostela, Fac Matemat, Santiago De Compostela 15782, Spain
Lakshmikantham, V.
;
Nieto, Juan J.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Santiago de Compostela, Fac Matemat, Santiago De Compostela 15782, SpainUniv Santiago de Compostela, Fac Matemat, Santiago De Compostela 15782, Spain
机构:
Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USAUniv Santiago de Compostela, Fac Matemat, Santiago De Compostela 15782, Spain
Agarwal, Ravi P.
;
Lakshmikantham, V.
论文数: 0引用数: 0
h-index: 0
机构:
Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USAUniv Santiago de Compostela, Fac Matemat, Santiago De Compostela 15782, Spain
Lakshmikantham, V.
;
Nieto, Juan J.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Santiago de Compostela, Fac Matemat, Santiago De Compostela 15782, SpainUniv Santiago de Compostela, Fac Matemat, Santiago De Compostela 15782, Spain