Positive solutions of nonlinear fractional differential equations with integral boundary value conditions

被引：255

作者：

Cabada, Alberto ^{[1
]}

Wang, Guotao ^{[2
]}

机构：

[1] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela, Spain

[2] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 389卷 / 01期

关键词：

Fractional differential equations; Integral boundary conditions; Positive solution; Green function; Super linear (sublinear) condition; INTEGRODIFFERENTIAL EQUATIONS; EXISTENCE;

D O I：

10.1016/j.jmaa.2011.11.065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the existence of positive solutions for a class of nonlinear boundary-value problem of fractional differential equations with integral boundary conditions. Our analysis relies on known Guo-Krasnoselskii fixed point theorem. (C) 2011 Elsevier Inc. All rights reserved.

引用

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页码：403 / 411

页数：9

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