This paper is mainly concerned with the existence of mild solutions and approximate controllability for a class of fractional semilinear systems with instantaneous and non-instantaneous impulses. By applying the Kuratowski measure of noncompactness and ρ-set contractive fixed-point theorem, the results for the considered system were obtained. In the end, an example was studied to support the main results.
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Chu et al. (2024) studied this question.
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