文章基本信息

标题：Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument
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作者：Guotao Wang ; SK Ntouyas ; Lihong Zhang 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：2011
卷号：2011
期号：1
页码：2
DOI：10.1186/1687-1847-2011-2
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this article, we consider the existence of at least one positive solution to the three-point boundary value problem for nonlinear fractional-order differential equation with an advanced argument where 2 < α ≤ 3, 0 < η < 1, , C D α is the Caputo fractional derivative. Using the well-known Guo-Krasnoselskii fixed point theorem, sufficient conditions for the existence of at least one positive solution are established. MSC (2010): 34A08; 34B18; 34K37.
关键词：Positive solution ; Three-point boundary value problem ; Fractional differential equations ; Guo-Krasnoselskii fixed point theorem ; Cone