期刊
RESULTS IN MATHEMATICS
卷 71, 期 1-2, 页码 45-61出版社
SPRINGER BASEL AG
DOI: 10.1007/s00025-016-0621-0
关键词
Fractional integro-differential inclusions; multivalued map; sectorial operators; nonlocal conditions; Bohnenblust-Karlin's fixed point theorem
In this paper, we consider a class of fractional integro-differential inclusions in Hilbert spaces. This paper deals with the approximate controllability for a class of fractional integro-differential control systems. First, we establishes a set of sufficient conditions for the approximate controllability for a class of fractional semilinear integro-differential inclusions in Hilbert spaces. We use Bohnenblust-Karlin's fixed point theorem to prove our main result. Further, we extend the result to study the approximate controllability concept with nonlocal conditions. An example is also given to illustrate our main result.
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