Global attracting sets of neutral stochastic functional integro-differential equations driven by a fractional Brownian motion

Author:

Bakka A.1,Hajji S.2,Kiouach D.1

Affiliation:

1. LPAIS Laboratory , Faculty of Sciences Dhar El Mahraz , Sidi Mohamed Ben Abedlah University , Fez , Morocco

2. Department of Mathematics , Regional Center for the Professions of Education and Training , Marrakesh , Morocco

Abstract

Abstract By means of the Banach fixed point principle, we establish some sufficient conditions ensuring the existence of the global attracting sets of neutral stochastic functional integrodifferential equations with finite delay driven by a fractional Brownian motion (fBm) with Hurst parameter H ( 1 2 , 1 ) {H\in(\frac{1}{2},1)} in a Hilbert space.

Publisher

Walter de Gruyter GmbH

Subject

Statistics and Probability,Analysis

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