# APPROXIMATE CONTROLLABILITY OF SEMILINEAR FRACTIONAL STOCHASTIC SYSTEM WITH NONLOCAL CONDITIONS

 Title APPROXIMATE CONTROLLABILITY OF SEMILINEAR FRACTIONAL STOCHASTIC SYSTEM WITH NONLOCAL CONDITIONS Publication Type Journal Article Year of Publication 2018 Authors ARORA URVASHI, SUKAVANAM N. Journal Dynamic Systems and Applications Volume 27 Issue 1 Start Page 45 Pagination 18 Date Published 01/2018 ISSN 1056-2176 AMS Subject Classification 26A33, 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. PDF https://www.acadsol.eu/dsa/articles/27/1/3.pdf DOI 10.12732/dsa.v27i1.3 Refereed Designation Refereed