The Cauchy problem of fuzzy differential equations under generalized differentiability

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-val...

Full description

Saved in:
Bibliographic Details
Published in:Fuzzy sets and systems 2012-08, Vol.200, p.1-24
Main Authors: Li, Jinxian, Zhao, Aimin, Yan, Jurang
Format: Article
Language:English
Subjects:
Analysis
Cauchy problem
Differential equations
Dynamic tests
Dynamics
Expansion
Fuzzy
Fuzzy logic
Fuzzy set theory
Fuzzy set-valued mapping
Generalized differentiability
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2011.10.009