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In this paper, we prove two results concerning the existence of  S -asymptotically  ω -periodic solutions for non-instantaneous impulsive semilinear differential inclusions of order    $1&lt;\alpha &lt;2$  1 &lt; α &lt; 2 and generated by sectorial operators. In the first result, we apply a fixed point theorem for contraction multivalued functions. In the second result, we use a compactness criterion in the space of bounded piecewise continuous functions defined on the unbounded interval    $J=[0,\infty )$  J = [ 0 , ∞ ) . We adopt the fractional derivative in the sense of the Caputo derivative. We provide three examples illustrating how the results can be applied.

Asymptotically periodic behavior of solutions to fractional non-instantaneous impulsive semilinear differential inclusions with sectorial operators