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Media type:
E-Article
Title:
Neutral stochastic functional differential evolution with varying-time delays driven by Rosenblatt process in Hilbert spaces
Contributor:
Lakhel, E.;
Boufoussi, B.;
Tlidi, A.
Published:
Gulf Journal of Mathematics, 2018
Published in:
Gulf Journal of Mathematics, 6 (2018) 1
Language:
Not determined
DOI:
10.56947/gjom.v6i1.127
ISSN:
2309-4966
Origination:
Footnote:
Description:
In this paper we consider a class of time-dependent neutral stochastic functional differential equations with finite delay driven by Rosenblatt process in a real separable Hilbert space. We prove an existence and uniqueness result of mild solution by means of the Banach fixed point principle. A practical example is provided to illustrate the viability of the abstract result of this work.