分数阶分段脉冲微分方程边值问题解的存在性  

Existence of Solutions for Boundary Value Problems of Fractional Differential Equations with Piecewise Impulsive

作　　者：丁为丽 刘锡平[1] DING Weili;LIU Xiping(College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《应用泛函分析学报》2019年第4期307-318,共12页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(11171220)。

摘　　要：本文研究了一类具有分段脉冲的分数阶微分方程边值问题.根据分段脉冲条件和边界条件的特点,建立了边值问题解的存在性定理,并运用非线性抉择和Krasnosel-skii’s不动点定理证明了所得结论的正确性.In this paper,we study a class of boundary value problems for fractional differential equations with piecewise impulses.According to the characteristics of segmented pulse conditions and boundary conditions,the existence theorems of solutions for boundary value problems are established,and by using nonlinear selection and Krasnoselskii’s fixed point theorems,the results of existence for the boundary value problem are proved.

关 键 词：分段脉冲 CAPUTO分数阶导数 不动点定理 

分 类 号：O175.8[理学—数学]