Fuzzy delay differential equations under generalized differentiability

We interpret a fuzzy delay differential equation using the concept of generalized differentiability. In this setting, we prove the existence of two fuzzy solutions, each one corresponding to a different type of differentiability. Uniqueness is understood in the sense that the solutions considered do...

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Veröffentlicht in:Information sciences 2014-08, Vol.275, p.145-167
Hauptverfasser: Khastan, A., Nieto, J.J., Rodríguez-López, R.
Format: Artikel
Sprache:eng
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Zusammenfassung:We interpret a fuzzy delay differential equation using the concept of generalized differentiability. In this setting, we prove the existence of two fuzzy solutions, each one corresponding to a different type of differentiability. Uniqueness is understood in the sense that the solutions considered do not have switching points. The applicability of the theoretical results is illustrated with some real world examples.
ISSN:0020-0255
1872-6291
DOI:10.1016/j.ins.2014.02.027