无穷区间上分数阶非局部边值问题的可解性

运用Banach压缩映像原理和Schauder不动点定理,研究了无穷区间上非线性项含有低一阶分数微分的分数微分方程非局部边值问题：

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Bibliographic Details
Published in河北科技大学学报 Vol. 36; no. 6; pp. 577 - 586
Main Author 王菊芳 禹长龙 郭彦平 魏江南
Format Journal Article
LanguageChinese
Published 河北科技大学理学院,河北石家庄,050018%河北科技大学电气工程学院,河北石家庄,050018 2015
Subjects
不动点定理
分数微分方程
常微分方程其他学科
无穷区间
非局部边值问题
常微分方程其他学科
无穷区间
ordinary differential equation
fractional differential equation
分数微分方程
非局部边值问题
nonlocal boundary value problem
infinite interval
不动点定理
fixed point theorem
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ISSN1008-1542
DOI10.7535/hbkd.2015yx06005

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Summary:运用Banach压缩映像原理和Schauder不动点定理,研究了无穷区间上非线性项含有低一阶分数微分的分数微分方程非局部边值问题：
Bibliography:ordinary differential equation; nonlocal boundary value problem; fractional differential equation; infinite interval; fixed point theorem
WANG Jufang , YU Changlong , GUO Yanping , WEI Jiangnan （1. School of Science, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, China;2. School of Electrical Engineering, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, China）
In this paper,we use Bananch＇s contraction mapping principle and Schauder＇s fixed point theorem to study the existence and uniqueness of solutions for nonlocal boundary value problems of fractional differential equations with the nonlinear term dependent in a fractional derivative of lower order on infinite intervals
13-1225/TS
ISSN:1008-1542
DOI:10.7535/hbkd.2015yx06005