Approximate controllability result for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions

This paper deals with the approximate controllability of impulsive neutral fuzzy stochastic differential equations with nonlocal conditions in a Banach space by using the concept of fuzzy numbers whose values are normal, convex, upper semicontinuous and compact. The hypotheses are obtained by Schaud...

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Bibliographic Details
Published in:Advances in difference equations 2015-04, Vol.2015 (1), p.1-16, Article 121
Main Authors: Narayanamoorthy, S, Sowmiya, S
Format: Article
Language:English
Subjects:
Analysis
Approximation
Controllability
Difference and Functional Equations
Differential equations
Evolution
Functional Analysis
Fuzzy
Fuzzy logic
Fuzzy set theory
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Stochasticity
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Summary:This paper deals with the approximate controllability of impulsive neutral fuzzy stochastic differential equations with nonlocal conditions in a Banach space by using the concept of fuzzy numbers whose values are normal, convex, upper semicontinuous and compact. The hypotheses are obtained by Schauder’s and Banach fixed point theorems. The results are obtained by the evolution operator.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-015-0454-2