具有混合单调脉冲条件的Hilfer分数阶发展方程的极端温和解
Extremal mild solutions for Hilfer fractional evolution equation with mixed monotone Impulsive conditions
摘要：
研究了分数阶脉冲系统的存在性和唯一性问题，给出了一种混合单调迭代方法.求这类具有非紧半群的脉冲发展方程的温和$L$ -拟解的过程涉及到非紧性测度和Sadovskii的不动点定理。最后给出了一个例子来说明主要结果。
英文摘要：
The well established mixed monotone iterative technique that is used to study the existence and uniqueness of fractional order system is studied explicitly for impulsive system with Hilfer fractional order in this paper. The procedure of finding mild $L$-quasi solution of such impulsive evolution equation with noncomapct semigroups involves measure of non-compactness and Sadovskii's fixed point theorem as well. An example is provided to illustrate the main results.
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