Geodesic
Controllability of time-dependent neutral stochastic functional differential equations driven by a fractional Brownian motion
Lakhel, El Hassan 1 ; Tlidi, Abdelmonaim 1
1 National School of Applied Sciences, Cadi Ayyad University, 46000 Safi, Morocco
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 6, p. 850-863.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we consider the controllability of certain class of non-autonomous neutral evolution stochastic functional differential equations, with time varying delays, driven by a fractional Brownian motion in a separable real Hilbert space. Sufficient conditions for controllability are obtained by employing a fixed point approach. A practical example is provided to illustrate the viability of the abstract result of this work.
DOI : 10.22436/jnsa.011.06.11
Classification : 35R10, 60H15, 60G15, 60J65
Keywords: Controllability, neutral stochastic functional differential equations, evolution operator, fractional Brownian motion

Lakhel, El Hassan  1 ; Tlidi, Abdelmonaim  1

1 National School of Applied Sciences, Cadi Ayyad University, 46000 Safi, Morocco 
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Lakhel, El Hassan ; Tlidi, Abdelmonaim . Controllability of time-dependent neutral   stochastic functional differential equations driven by  a fractional  Brownian motion. Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 6, p. 850-863. doi : 10.22436/jnsa.011.06.11. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.06.11/

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