Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions

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 th...

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Published inApplicable analysis Vol. 95; no. 11; pp. 2361 - 2382
Main Authors Sakthivel, R., Ren, Yong, Debbouche, Amar, Mahmudov, N.I.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 01.11.2016
Taylor & Francis Ltd
Subjects
34G20; 93B05; 93E03
Applied mathematics
Approximate controllability
Calculus
Controllability
Delay
Differential equations
fractional calculus
Inclusions
infinite delay
Linear systems
Mathematical analysis
multivalued maps
stochastic differential inclusions
Stochastic processes
Stochasticity
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ISSN0003-6811
1563-504X
DOI10.1080/00036811.2015.1090562

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Summary: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.
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ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2015.1090562