Approximate Controllability of Fractional Impulsive Partial Neutral Stochastic Differential Inclusions with State-Dependent Delay and Fractional Sectorial Operators. (1st December 2016)

• Record Type: Journal Article
• Authors: Yan, Zuomao
• Is Part Of: Numerical functional analysis and optimization. Volume 37:Number 12(2016)
• Page Start: 1590
• Page End: 1639
• Publication Date: 2016-12-01
• Subjects: Approximate controllability -- fixed point theorem -- fractional impulsive partial neutral stochastic differential inclusions -- fractional sectorial operators -- state-dependent delay; 34A37 -- 60H10 -- 34G25 -- 26A33 -- 93B05; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2016.1240181
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this article, the approximate controllability of fractional impulsive partial neutral stochastic differential inclusions with state-dependent delay and fractional sectorial operators in Hilbert spaces is studied. By using the stochastic analysis, the fractional sectorial operators and a fixed point theorem for multi-valued maps combined with approximation techniques, we discuss a new set of sufficient conditions for the approximate controllability of the systems under the mixed Lipschitz and Carathéodory conditions. An example is provided to illustrate the obtained theory.