Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions. Issue 11 (1st November 2016)

• Record Type: Journal Article
• Authors: Sakthivel, R.; Ren, Yong; Debbouche, Amar; Mahmudov, N.I.
• Is Part Of: Applicable analysis. Volume 95:Issue 11(2016)
• Page Start: 2361
• Page End: 2382
• Publication Date: 2016-11-01
• Subjects: Approximate controllability -- fractional calculus -- stochastic differential inclusions -- infinite delay -- multivalued maps; 34G20; 93B05; 93E03; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2015.1090562
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : In this paper, we investigate the approximate controllability of fractional stochastic differential inclusions with nonlocal conditions. In particular, we obtain a new set of sufficient conditions for the approximate controllability of nonlinear fractional stochastic differential inclusions under the assumption that the corresponding linear system is approximately controllable. In addition, we establish the approximate controllability results for the fractional stochastic control system with infinite delay. The results are obtained with the help of the fixed-point theorem for multivalued operators and fractional calculus. Also, two examples are provided to illustrate the obtained theory.