讨论了α∈(1,2]阶的有限时滞半线性发展方程的近似可控性.首先运用压缩映像原理证明了弱解的存在唯一性,进而在适当条件下运用α-阶强连续余弦族理论证明了系统的近似可控性.%This paper considers the approximate controllability of semilinear fractional evolution equations of order α ∈ (1,2] with finite delay.Using the contraction mapping principle,we explore the existence and uniqueness of the mild solution.Furthermore,under certain hypotheses,the approximate controllability is obtained by the theory of strongly continuous α-order cosine family.As an illustration of the application of the obtained result,an example is given at last.
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