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Controllability of Neutral Stochastic Functional Integro-Differential Equations Driven by Fractional Brownian Motion with Hurst Parameter Lesser than 1/2

Probability 2018-09-26 v1

Abstract

In this article we investigate the controllability for neutral stochastic functional integro-differential equations with finite delay, driven by a fractional Brownian motion with Hurst parameter lesser than 1/21/2 in a Hilbert space. We employ the theory of resolvent operators combined with the Banach fixed point theorem to establish sufficient conditions to prove the desired result

Keywords

Cite

@article{arxiv.1809.09482,
  title  = {Controllability of Neutral Stochastic Functional Integro-Differential Equations Driven by Fractional Brownian Motion with Hurst Parameter Lesser than 1/2},
  author = {Brahim Boufoussi and Soufiane Mouchtabih},
  journal= {arXiv preprint arXiv:1809.09482},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:1503.07985 by other authors