Approximate Controllability of Semilinear Fractional Control Systems of Order α ∈ (1, 2

摘要

The objective of this paper is to present some sufficient conditions for approximate controllability of semilinear delay control systems of fractional order α ∈ (1, 2]. The results are obtained by the theory of strongly continuous α-order cosine family and sequential approach under the natural assumption that the linear system is approximate controllable. At the end, an example is given to illustrate the theory.