[1]于鹏艳,侯成敏*.一类分数阶微分包含耦合系统边值问题解的存在性[J].延边大学学报(自然科学版),2021,47(01):1-9.
　YU Pengyan,HOU Chengmin*.The existence of solutions for a class of coupled systems of fractional differential inclusions with coupled boundary value problems[J].Journal of Yanbian University,2021,47(01):1-9.
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一类分数阶微分包含耦合系统边值问题解的存在性

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第47卷 期数: 2021年01期 页码: 1-9 栏目: 基础科学研究 出版日期: 2021-04-20
Title:
The existence of solutions for a class of coupled systems of fractional differential inclusions with coupled boundary value problems
文章编号:
1004-4353(2021)01-0001-09
作者:
于鹏艳;  侯成敏*
( 延边大学 理学院, 吉林 延吉 133002)
Author(s):
YU Pengyan;  HOU Chengmin*
(College of Science, Yanbian University, Yanji 133002, China)
关键词:
Kakutani映射非线性选择性定理;  分数阶微分包含;  耦合系统;  边值问题
Keywords:
the nonlinear alternative for Kakutani maps theorem;  fractional -order differential inclusions;  coupled systems;  boundary value problems
分类号:
O175.6
文献标志码:
A
摘要:
利用Kakutani映射非线性选择性定理研究了一类分数阶微分包含耦合系统边值问题解的存在性,结果表明当多值映射具有凸值时上述边值问题至少存在一个解的充分条件.
Abstract:
The existence of solutions for a class of coupled fractional -order differential inclusions systems supplemented with boundary value problems is investigated by using the nonlinear alternative for Kakutani maps theorem, and a sufficient condition is given for the existence of at least one solution to the above problem when the multi -valued mappings have convex values.

参考文献/References:

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[8] GRANAS A, DUGUGUNDJI J. Fixed Point Theory[M]. New York: Springer, 2003:3-6.

备注/Memo

收稿日期: 2020-12-27
*通信作者: 侯成敏(1963—),女,教授,研究方向为微分方程及其应用.
基金项目: 吉林省教育厅“十三五”科学技术研究项目(JJKH20170454KJ)

更新日期/Last Update: 2021-04-20