In this paper, we investigate a class of impulsive Katugampola fractional differential equations with nonlocal conditions in a Banach space. First, by using a fixed-point theorem, we obtain the existence results for a class of impulsive Katugampola fractional differential equations. Secondly, we derive the sufficient conditions for optimal controls by building approximating minimizing sequences of functions twice.

中文翻译：

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一类具有非局部条件的脉冲Katugampola分数阶微分方程的最优控制

在本文中，我们研究了一类在Banach空间中具有非局部条件的脉冲Katugampola分数阶微分方程。首先，通过使用不动点定理，我们获得了一类脉冲Katugampola分数阶微分方程的存在性结果。其次，我们通过建立两次近似最小化的功能序列来推导最优控制的充分条件。