In this paper, the necessary and sufficient conditions are derived for the controllability of Atangana-Baleanu-Caputo (ABC) neutral fractional differential equations (FDEs) with noninstantaneous (NI) impulses. The main controllability result is obtained by using the concept of measure of noncompactness, semigroup, fractional calculus, and $\mathcal{K}$-set contraction principle. An illustration is provided to validate the established theoretical result.

中文翻译：

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半线性非瞬时脉冲ABC中性分数阶微分方程的可控性

在本文中，导出了具有非瞬时 (NI) 脉冲的 Atangana-Baleanu-Caputo (ABC) 中性分数阶微分方程 (FDE) 可控性的充分必要条件。主要的可控性结果是利用非紧性测度、半群、分数阶微积分的概念得到的。$\mathcal{钾}$-set 收缩原则。提供了一个插图来验证已建立的理论结果。