Finite-approximate controllability of semilinear fractional stochastic integro-differential equations
Chaos, Solitons and Fractals, vol.139, 2020 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 139
- Publication Date: 2020
- Doi Number: 10.1016/j.chaos.2020.110277
- Journal Name: Chaos, Solitons and Fractals
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Compendex, INSPEC, zbMATH
- Keywords: Approximate controllability, Finite-approximate controllability, Stochastic evolution equation
- Open Archive Collection: Article
- Azerbaijan State University of Economics (UNEC) Affiliated: No
Abstract
We introduce the concepts of simultaneous finite dimensional exact and mean square approximate controllability (finite-approximate controllability) in the framework of semilinear fractional stochastic integro-differential evolution Ito equations. Under the approximate controllability of the corresponding linear part we obtain sufficient conditions for the finite-approximate controllability of the semilinear fractional stochastic integro-differential evolution equation. At the end, an example of stochastic heat equation is given to show applicability of our result.