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Global existence and uniqueness of solutions for fuzzy differential equations under dissipative-type conditions

โœ Scribed by Zengtai Gong; Yabin Shao

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
289 KB
Volume
56
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In this paper, using the properties of a differential and integral calculus for fuzzy set valued mappings and completeness of metric space of fuzzy numbers, the global existence, uniqueness and the continuous dependence of a solution on a fuzzy differential equation are derived under the dissipative-type conditions. We also present the global existence and uniqueness of solutions for a fuzzy differential equation on a closed convex subset of fuzzy number space.

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