Controllability of neutral stochastic functional integro-differential equations driven by fractional Brownian motion. Issue 3 (3rd May 2016)

• Record Type: Journal Article
• Authors: Lakhel, El Hassan
• Is Part Of: Stochastic analysis and applications. Volume 34:Issue 3(2016)
• Page Start: 427
• Page End: 440
• Publication Date: 2016-05-03
• Subjects: Neutral stochastic partial integro-differential equations -- resolvent operators -- fractional Brownian motion; 60G18 -- 60G22 -- 60H20; Stochastic analysis -- Periodicals; 519.2205
• DOI: 10.1080/07362994.2016.1149718
• Languages: English
• ISSNs: 0736-2994

Abstract

ABSTRACT: This article focuses on controllability results of neutral stochastic delay partial functional integro-differential equations perturbed by fractional Brownian motion. Sufficient conditions are established using the theory of resolvent operators developed by Grimmer [Resolvent operators for integral equations in Banach spaces, Trans. Amer. Math. Soc., 273(1982):333–349] combined with a fixed point approach for achieving the required result. An example is provided to illustrate the theory.