期刊
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
卷 53, 期 4, 页码 1920-1933出版社
SIAM PUBLICATIONS
DOI: 10.1137/120903853
关键词
approximate controllability; fractional evolution systems; Riemann-Liouville fractional derivatives; mild solutions
资金
- NNSF of China [11271087, 61263006]
- NSF of Guangxi grant [2014GXNSFDA118002]
- Special Funds of Guangxi Distinguished Experts Construction Engineering
- Marie Curie International Research Staff Exchange Scheme Fellowship within the 7th European Community Framework Programme [295118]
- National Science Center of Poland [UMO-2012/06/A/ST1/00262]
In this paper, we deal with the control systems governed by fractional evolution differential equations involving Riemann-Liouville fractional derivatives in Banach spaces. Our main purpose in this article is to establish suitable assumptions to guarantee the existence and uniqueness results of mild solutions. Under these conditions, the approximate controllability of the associated fractional evolution systems involving Riemann-Liouville fractional derivatives is formulated and proved.
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