无穷区间上Hadamard型分数阶微分方程多点边值问题解的存在性

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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.

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	作者相关文章
	曹美丽
	周文学
	秦锐珍

关键词 ： Hadamard分数阶微分, 凹算子, 无穷区间, Leray-Schauder不动点定理, 多点边值问题

Abstract：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.

Key words： Hadamard fractional differential concave operators infinite interval Leray-Schauder fixed point theorem multi-point boundary value problem

收稿日期: 2025-07-29

引用本文:

曹美丽,周文学,秦锐珍. 无穷区间上Hadamard型分数阶微分方程多点边值问题解的存在性[J]. 华中师范大学学报(自然科学版), 2025, 59(4): 544-551.
CAO Meili,ZHOU Wenxue,QIN Ruizhen. Existence of solutions to multi-point boundary value problems for fractional differential equations of Hadamard on infinite intervals. journal1, 2025, 59(4): 544-551.

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https://journal.ccnu.edu.cn/zk/CN/ 或 https://journal.ccnu.edu.cn/zk/CN/Y2025/V59/I4/544