Abstract

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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