非瞬时脉冲分数阶迭代微分方程正解的存在性和唯一性
Existence and Uniqueness of Positive Solutions for Non-Instantaneous Impulsive Fractional Iterative Differential Equations
摘要: 本文中，我们研究了一类带有非瞬时脉冲的分数阶迭代微分方程边值问题，运用Schauder不动点定理证明了解的存在性结果，利用压缩映射原理证明了解的唯一性。
Abstract:
In this paper, we study a class of boundary value problems for fractional iterative differential equations with non-instantaneous impulses. The existence of the solutions is obtained by using Schauder fixed point theorem. The uniqueness of the solutions is obtained by using the principle of contraction mapping.
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