Random fuzzy functional integro-differential equations under generalized Hukuhara differentiability

Random fuzzy functional integro-differential equations under generalized Hukuhara differentiability

In this paper, we prove the existence and uniqueness results for the random fuzzy functional integro-differential equations under generalized Hukuhara differentiability. For the existence and uniqueness, we use the method of successive approximations. Some kinds of boundedness of the solution are es...

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Veröffentlicht in:Journal of intelligent & fuzzy systems 2014, Vol.27 (3), p.1491-1506
Hauptverfasser: Vu, Ho, Dong, Le Si, Hoa, Ngo Van
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Fuzzy
Fuzzy logic
Fuzzy set theory
Fuzzy systems
Mathematical analysis
Uniqueness
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Zusammenfassung:In this paper, we prove the existence and uniqueness results for the random fuzzy functional integro-differential equations under generalized Hukuhara differentiability. For the existence and uniqueness, we use the method of successive approximations. Some kinds of boundedness of the solution are established. Moreover, we provide examples to illustrate the results.
ISSN:1064-1246
DOI:10.3233/IFS-131116