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

作　　者：曹丽丽 刘锡平[1] 

机构地区：[1]上海理工大学,理学院,上海

出　　处：《应用数学进展》2022年第3期1474-1483,共10页Advances in Applied Mathematics

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。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.

关 键 词：迭代微分方程 非瞬时脉冲 压缩映射 不动点 

分 类 号：O175.8[理学—数学]