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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| Published in | 河北科技大学学报 Vol. 36; no. 6; pp. 577 - 586 |
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| Main Author | |
| Format | Journal Article |
| Language | Chinese |
| 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
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1008-1542 |
| DOI | 10.7535/hbkd.2015yx06005 |
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| Abstract | 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： |
|---|---|
| AbstractList | 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： O175; 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:{Dα0+u(t)=f(t,u(t),Da-10+u(t)), t∈J,u(0)=0,Dα-10+u(∞)=m-2∑i=1iβu(ηi)解的存在性与唯一性,推广了已有的相关结论.通过实例验证了主要结论的正确性. |
| Author | 王菊芳 禹长龙 郭彦平 魏江南 |
| AuthorAffiliation | 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 |
| AuthorAffiliation_xml | – name: 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 |
| Author_FL | WEI Jiangnan WANG Jufang YU Changlong GUO Yanping |
| Author_FL_xml | – sequence: 1 fullname: WANG Jufang – sequence: 2 fullname: YU Changlong – sequence: 3 fullname: GUO Yanping – sequence: 4 fullname: WEI Jiangnan |
| Author_xml | – sequence: 1 fullname: 王菊芳 禹长龙 郭彦平 魏江南 |
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| ClassificationCodes | O175 |
| ContentType | Journal Article |
| Copyright | Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| DOI | 10.7535/hbkd.2015yx06005 |
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| DocumentTitleAlternate | Solvability of solutions for nonlocal boundary value problems of fractional order on infinite intervals |
| DocumentTitle_FL | Solvability of solutions for nonlocal boundary value problems of fractional order on infinite intervals |
| EndPage | 586 |
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| Keywords | 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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| Notes | 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 |
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| PublicationTitle | 河北科技大学学报 |
| PublicationTitleAlternate | Journal of Hebei University of Science and Technology |
| PublicationTitle_FL | Journal of Hebei University of Science and Technology |
| PublicationYear | 2015 |
| Publisher | 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 |
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| Snippet | 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： O175; 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:{Dα0+u(t)=f(t,u(t),Da-10+u(t)),... |
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| SubjectTerms | 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 |
| Title | 无穷区间上分数阶非局部边值问题的可解性 |
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