文章基本信息

标题：Boundary value problems for fractional differential equations with nonlocal boundary conditions
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作者：Rian Yan ; Shurong Sun ; Ying Sun 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：176
DOI：10.1186/1687-1847-2013-176
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we establish some sufficient conditions for the existence of solutions to two classes of boundary value problems for fractional differential equations with nonlocal boundary conditions. Our goal is to establish some criteria of existence for the boundary problems with nonlocal boundary condition involving the Caputo fractional derivative, using Banach’s fixed point theorem and Schaefer’s fixed point theorem. Finally, we present four examples to show the importance of these results. MSC:34A08, 34B10.
关键词：fractional differential equation ; boundary value problem ; fixed-point theorem