多基点分数阶微分方程脉冲边值问题解的存在性

数学物理学报 ›› 2018, Vol. 38 ›› Issue (4): 697-715.

多基点分数阶微分方程脉冲边值问题解的存在性

王惠文, 曾红娟, 李芳

云南师范大学数学学院昆明 650500

收稿日期:2016-09-18 修回日期:2017-08-26 出版日期:2018-08-26 发布日期:2018-08-26
通讯作者: 李芳,E-mail:fangli860@gmail.com E-mail:fangli860@gmail.com
基金资助:
国家自然科学基金（11561077，11471227）和云南省中青年学术和技术带头人后备人才基金

An Existence Result for Impulsive Boundary Value Problem for Fractional Differential Equations with Multiple Base Points

Wang Huiwen, Zeng Hongjuan, Li Fang

School of Mathematics, Yunnan Normal University, Kunming 650500

Received:2016-09-18 Revised:2017-08-26 Online:2018-08-26 Published:2018-08-26
Supported by:
Supported by the NSFC (11561077, 11471227) and the Reserve Talents of Young and MiddleAged Academic and Technical Leaders of the Yunnan Province (2017HB021)

摘要/Abstract

摘要： 该文研究了α（∈（1，2））阶非线性多基点分数微分方程脉冲边值问题解的存在性，利用不动点定理在较弱条件下得到了解的存在性定理，并通过三个实例验证了解的存在性.

关键词: 非线性多基点分数阶微分方程, 脉冲, 边值问题

Abstract: In this paper, we study the existence of solutions for impulsive boundary value problem for nonlinear multiple base points differential equations of fractional order α ∈ (1, 2). By using some well-known fixed point theorem, we obtain an existence result on solution under the weak assumption. Three examples are given to illustrate the existence theorems.

Key words: Nonlinear multiple base points fractional differential equations, Impulse, Boundary value problem

中图分类号:

O175.8

王惠文, 曾红娟, 李芳. 多基点分数阶微分方程脉冲边值问题解的存在性[J]. 数学物理学报, 2018, 38(4): 697-715.

Wang Huiwen, Zeng Hongjuan, Li Fang. An Existence Result for Impulsive Boundary Value Problem for Fractional Differential Equations with Multiple Base Points[J]. Acta mathematica scientia,Series A, 2018, 38(4): 697-715.

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