In this paper, we consider the initial boundary value problem for a class of nonlinear fractional partial integro-differential equations of mixed type with non-instantaneous impulses in Banach spaces. Sufficient conditions of existence and uniqueness of PC-mild solutions for the equations are obtained via general Banach contraction mapping principle, Krasnoselskii’s fixed point theorem, and α-order solution operator.

中文翻译：

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具有非瞬时脉冲的混合型分数阶偏微分方程

在本文中，我们考虑了Banach空间中一类带有非瞬时脉冲的混合型非线性分数阶偏积分-微分方程的初边值问题。通过一般的Banach压缩映射原理，Krasnoselskii不动点定理和α阶解算子，获得了方程的PC-mild解的存在性和唯一性的充分条件。