arXiv subjects

El Hassan Lakhel

Publications and source records attributed to El Hassan Lakhel.

3 recordsLinked to original sources

arXiv2016

Controllability of fractional stochastic neutral functional differential equations driven by fractional Brownian motion with infinite delay

In this paper we study the controllability of fractional neutral stochastic functional differential equations with infinite delay driven by fractional Brownian motion in a real separable Hilbert space. The controllability results are obtained by using stochastic analysis and a fixed-point strategy. Finally, an illustrative example is provided to demonstrate the effectiveness of the theoretical result.

math.PR↗

arXiv2016

Controllability of stochastic impulsive neutral functional differential equations driven by fractional Brownian motion with infinite delay

In this paper we study the controllability results of impulsive neutral stochastic functional differential equations with infinite delay driven by fractional Brownian motion in a real separable Hilbert space. The controllability results are obtained using stochastic analysis and a fixed-point strategy. Finally, an illustrative example is provided to demonstrate the effectiveness of the theoretical result.

math.PR↗

arXiv2015

Controllability of neutral stochastic functional integro-differential equations driven by fractional Brownian motion

This paper focuses on controllability results of stochastic delay partial functional integro-differential equations perturbed by fractional Brownian motion. Sufficient conditions are established using the theory of resolvent operators combined with a fixed point approach for achieving the required result. An example is provided to illustrate the theory.

math.PR↗