兰州大学机构库 >数学与统计学院
无穷区间上的分数阶微分方程边值问题的解
Alternative TitleSolutions for boundary value problems of fractional differential equations on an infinite interval
杨凯军
Thesis Advisor孙红蕊
2013-05-24
Degree Grantor兰州大学
Place of Conferral兰州
Degree Name硕士
Keyword分数阶方程 无穷区间 不动点理论 存在性 相对紧集
Abstract本文主要研究了三类定义在无穷区间上的分数阶微分方程(组)边值问题解的存在性. 通过分别选取相应合适的Banach空间,讨论其上相对紧集的判定准则,构造相应的全连续算子,借助于不动点理论,建立了解的存在性准则.
Other AbstractThis thesis is mainly concerned with the existence of solutions of the following three classes boundary value problems . existence criteria of solution are established by choosing corresponding suitable Banach spaces, discussing the sufficient condition of relatively compact , constructing the corresponding completely continuous operators and applying fixed point theory.
URL查看原文
Language中文
Document Type学位论文
Identifierhttps://ir.lzu.edu.cn/handle/262010/224585
Collection数学与统计学院
Recommended Citation
GB/T 7714
杨凯军. 无穷区间上的分数阶微分方程边值问题的解[D]. 兰州. 兰州大学,2013.
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