无穷区间上的分数阶微分方程边值问题的解

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 Title	Solutions 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解
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 Abstract	This 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
Identifier	https://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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