Existence of solutions for the fuzzy functional differential equations. (English) Zbl 1308.34008
Cao, Bing-Yuan (ed.) et al., Fuzzy information and engineering and operations research and management. Based on the presentations at the 6th international conference, ICFIE 2012, Babolsar, Iran, October 25–26, 2012 and at the 6th academic conference on fuzzy information and engineering branch of Operation Research Society of China (FIEBORSC 2012), Shenzhen, China, December 18–24, 2012. Berlin: Springer (ISBN 978-3-642-38666-4/pbk; 978-3-642-38667-1/ebook). Advances in Intelligent Systems and Computing 211, 215-227 (2014).
Summary: In this paper, we consider the existence theorems of solution for fuzzy functional differential equations under the compactness-type conditions and dissipative type conditions, via the properties of the embedding mapping from fuzzy number to Banach space.
For the entire collection see [Zbl 1279.00043].
For the entire collection see [Zbl 1279.00043].
MSC:
| 34A07 | Fuzzy ordinary differential equations |
| 34A05 | Explicit solutions, first integrals of ordinary differential equations |
| 34K99 | Functional-differential equations (including equations with delayed, advanced or state-dependent argument) |
Keywords:
fuzzy number; fuzzy functional differential equations; initial value problems; compactness-type conditions; dissipative-type conditionsReferences:
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