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Finite-approximate controllability of fractional stochastic evolution equations with nonlocal conditions
- Source :
- Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-24 (2020)
- Publication Year :
- 2020
- Publisher :
- SpringerOpen, 2020.
-
Abstract
- Abstract This paper deals with the finite-approximate controllability for a class of fractional stochastic evolution equations with nonlocal initial conditions in a Hilbert space. We establish sufficient conditions for the finite-approximate controllability of the control system when the compactness conditions or Lipschitz conditions for the nonlocal term and uniform boundedness conditions for the nonlinear term are not required. The discussion is based on the fixed point theorem, approximation techniques and diagonal argument. In the end, an example is presented to illustrate the abstract theory. Our result improves and extends some relevant results in this area.
Details
- Language :
- English
- ISSN :
- 1029242X
- Volume :
- 2020
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Inequalities and Applications
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.7ccdd57abd56480ea75364be88f858eb
- Document Type :
- article
- Full Text :
- https://doi.org/10.1186/s13660-020-02354-4