APPROXIMATE CONTROLLABILITY OF SEMILINEAR FRACTIONAL STOCHASTIC SYSTEM WITH NONLOCAL CONDITIONS

TitleAPPROXIMATE CONTROLLABILITY OF SEMILINEAR FRACTIONAL STOCHASTIC SYSTEM WITH NONLOCAL CONDITIONS
Publication TypeJournal Article
Year of Publication2018
AuthorsARORA URVASHI, SUKAVANAM N.
JournalDynamic Systems and Applications
Volume27
Issue1
Start Page45
Pagination18
Date Published01/2018
ISSN1056-2176
AMS Subject Classification26A33, 93B05
Abstract

This paper deals with the approximate controllability of semilinear fractional stochastic system of order $\rho ∈ (1, 2]$ with nonlocal conditions. By using Sadovskii’s fixed point theorem with fractional calculus and stochastic analysis theory, we derive a new set of sufficient conditions for the approximate controllability of fractional stochastic system with nonlocal conditions under the assumption that the corresponding linear system is approximately controllable. Finally, an application to a fractional stochastic system with nonlocal initial conditions is provided to illustrate
the feasibility of the obtained results.

PDFhttps://www.acadsol.eu/dsa/articles/27/1/3.pdf
DOI10.12732/dsa.v27i1.3
Refereed DesignationRefereed