Approximate controllability and optimal controls of fractional evolution systems in abstract spaces
| dc.contributor.author | Qin, H. | |
| dc.contributor.author | Liu, J. | |
| dc.contributor.author | Zuo, X. | |
| dc.contributor.author | Liu, Lishan | |
| dc.date.accessioned | 2018-02-01T05:23:59Z | |
| dc.date.available | 2018-02-01T05:23:59Z | |
| dc.date.created | 2018-02-01T04:59:50Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Qin, H. and Liu, J. and Zuo, X. and Liu, L. 2014. Approximate controllability and optimal controls of fractional evolution systems in abstract spaces. Advances in Difference Equations. 2014 (1). | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/62500 | |
| dc.identifier.doi | 10.1186/1687-1847-2014-322 | |
| dc.description.abstract |
© 2014, Qin et al.; licensee Springer.In this paper, under the assumption that the corresponding linear system is approximately controllable, we obtain the approximate controllability of semilinear fractional evolution systems in Hilbert spaces. The approximate controllability results are proved by means of the Hölder inequality, the Banach contraction mapping principle, and the Schauder fixed point theorem. We also discuss the existence of optimal controls for semilinear fractional controlled systems. Finally, an example is also given to illustrate the applications of the main results. MSC:26A33, 49J15, 49K27, 93B05, 93C25. | |
| dc.publisher | SpringerOpen | |
| dc.title | Approximate controllability and optimal controls of fractional evolution systems in abstract spaces | |
| dc.type | Journal Article | |
| dcterms.source.volume | 2014 | |
| dcterms.source.number | 1 | |
| dcterms.source.issn | 1687-1839 | |
| dcterms.source.title | Advances in Difference Equations | |
| curtin.department | Department of Mathematics and Statistics | |
| curtin.accessStatus | Open access via publisher |
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