分数阶脉冲泛函微分方程积分边值问题解的存在性  

Existence of Solutions for Integral Boundary Value Problems of Fractional Impulsive Functional Differential Equations

作　　者：李庭乐 贾梅[1] 刘锡平[1] 郑雯静 LI Tingle;JIA Mei;LIU Xiping;ZHENG Wenjing(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：《吉林大学学报（理学版）》2020年第2期261-270,共10页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11171220).

摘　　要：运用Schauder不动点定理及压缩映射原理,研究一类含有脉冲的分数阶泛函微分方程积分边值问题解的存在性与唯一性,得到并证明了该积分边值问题解的存在性与唯一性定理,并给出实例验证所得结论的适用性和有效性。By using Schauder fixed point theorem and contracting mapping principle,we studied the existence and uniqueness of solutions for integral boundary value problems of a class of fractional functional differential equations with impulses,obtained and proved the theorems of existence and uniqueness of solutions for the integral boundary value problems,and gave an example to illustrate the applicability and validity of the conclusions.

关 键 词：泛函微分方程 脉冲 CAPUTO导数 不动点定理 解的存在性与唯一性 

分 类 号：O175.8[理学—数学]