| 分数阶脉冲泛函微分方程积分边值问题解的存在性 |
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| 引用本文： | 李庭乐,贾梅,刘锡平,郑雯静.分数阶脉冲泛函微分方程积分边值问题解的存在性[J].吉林大学学报(理学版),2020,58(2):261-270. |
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| 作者姓名： | 李庭乐 贾梅 刘锡平 郑雯静 |
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| 作者单位： | 上海理工大学 理学院, 上海 200093 |
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| 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.
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| 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 |
| 收稿时间： | 2019-07-18 |
Existence of Solutions for Integral Boundary ValueProblemsof Fractional Impulsive Functional Differential Equations#br# |
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| LI Tingle,JIA Mei,LIU Xiping,ZHENG Wenjing.Existence of Solutions for Integral Boundary ValueProblemsof Fractional Impulsive Functional Differential Equations#br#[J].Journal of Jilin University: Sci Ed,2020,58(2):261-270. |
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| Authors: | LI Tingle JIA Mei LIU Xiping ZHENG Wenjing |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | 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. |
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| Keywords: | functional differential equation impulse Caputo derivative fixed point theorem existence and uniqueness of solution |
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