Approximate controllability of fractional neutral stochastic evolution equations in Hilbert spaces with fractional Brownian motion. Issue 2 (4th March 2018)

• Record Type: Journal Article
• Authors: Mourad, Kerboua
• Is Part Of: Stochastic analysis and applications. Volume 36:Issue 2(2018)
• Page Start: 209
• Page End: 223
• Publication Date: 2018-03-04
• Subjects: Approximate controllability -- fractional Sobolev type equation -- stochastic system -- fixed point technique -- fractional stochastic nonlocal condition -- fractional Brownian motion; 93B05 -- 26A33 -- 46E39 -- 60H15 -- 60G22; Stochastic analysis -- Periodicals; 519.2205
• DOI: 10.1080/07362994.2017.1386570
• Languages: English
• ISSNs: 0736-2994

Abstract

ABSTRACT: In this paper, the approximate controllability for Sobolev-type fractional neutral stochastic evolution equations with fractional stochastic nonlocal conditions and fractional Brownian motion in a Hilbert space are studied. The results are obtained by using semigroup theory, fractional calculus, stochastic integrals for fractional Brownian motion, Banach's fixed point theorem, and methods adopted directly from deterministic control problems for the main results. Finally, an example is given to illustrate the application of our result.