摘要
该文在Hadamard型分数阶导数的定义下,讨论了多点边值问题解的存在性.其核心是构造满足条件的Banach空间,利用一般凹算子不动点定理和Leray-Schauder不动点定理得到了无穷区间上多点边值问题解的存在性结论,最后用两个例子来验证所得的结果.
In this paper,the existence of solutions to multi-point boundary value problems is discussed under the definition of fractional derivatives of Hadamard.The main focus is on constructing a Banach space that satisfies certain conditions.By utilizing both the fixed-point theorem for general concave operators and Leray-Schauder fixed point theorem,the existence result for multi-point boundary value problems on infinite interval is established.Finally,two examples are used to verify the results.
作者
曹美丽
周文学
秦锐珍
CAO Meili;ZHOU Wenxue;QIN Ruizhen(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)
出处
《华中师范大学学报(自然科学版)》
北大核心
2025年第4期544-551,共8页
Journal of Central China Normal University:Natural Sciences
基金
国家自然科学基金项目(11961039).
