In the present paper, we investigate the existence, uniqueness, and continuous dependence of mild solutions of impulsive neutral integrodifferential equations with nonlocal conditions in Banach spaces. We use Banach contraction principle and the theory of fractional power of operators to obtain our results. An example is given to illustrate our results.

中文翻译：

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Banach空间中脉冲分数阶积分微分方程温和解的存在性和连续依赖性

在本文中，我们研究了具有非局部条件的Banach空间中的脉冲中立积分微分方程的和解的存在性，唯一性和连续依赖性。我们使用Banach压缩原理和算子的分数幂理论来获得我们的结果。给出一个例子来说明我们的结果。