文章基本信息

标题：Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders
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作者：Yige Zhao ; Shurong Sun ; Zhenlai Han 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：10
DOI：10.1186/1687-1847-2011-10
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this article, we study the existence of positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders where 2 < α ≤ 3, 3 < β ≤ 4, , are the standard Riemann-Liouville fractional derivative, and f, g : [0, 1] × [0, +∞) → [0, +∞) are given continuous functions, f(t, 0) ≡ 0, g(t, 0) ≡ 0. Our analysis relies on fixed point theorems on cones. Some sufficient conditions for the existence of at least one or two positive solutions for the boundary value problem are established. As an application, examples are presented to illustrate the main results.
关键词：Positive solution ; coupled system ; fractional Green's function ; fixed point theorem