The Cauchy problem of fuzzy differential equations under generalized differentiability

被引：31

作者：

Li, Jinxian ^{[1
,2
]}

Zhao, Aimin ^{[1
]}

Yan, Jurang ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610065, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2012年 / 200卷

基金：

中国国家自然科学基金;

关键词：

Analysis; Fuzzy set-valued mapping; Generalized differentiability; NUMERICAL-SOLUTION; VALUED FUNCTIONS; METRIC-SPACES; EXISTENCE; INTEGRATION; UNIQUENESS; CALCULUS; INTERVAL; SYSTEMS;

D O I：

10.1016/j.fss.2011.10.009

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The generalization of the concept of H-differentiability can be of great help in the dynamic study of fuzzy differential equations. In this paper, the concept of generalized differentiability is described from a new perspective. On the basis of this concept, the class of differentiable fuzzy set-valued mappings is enlarged. The Cauchy problem for fuzzy differential equations is investigated in this enlarged setting. As a result, some new solutions are obtained. The lengths of the support sets of these solutions may be non-monotonic. Several examples are also shown. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1 / 24

页数：24

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