Existence solutions for boundary value problem of nonlinear fractional q-difference equations

被引：46

作者：

Zhou, Wen-Xue ^{[1
,2
]}

Liu, Hai-Zhong ^{[1
]}

机构：

[1] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2013年

基金：

中国国家自然科学基金;

关键词：

boundary value problem; fractional q-difference equations; Caputo fractional derivative; weak solutions; POSITIVE SOLUTIONS;

D O I：

10.1186/1687-1847-2013-113

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the existence of weak solutions for a nonlinear boundary value problem of fractional q-difference equations in Banach space. Our analysis relies on the Monch's fixed-point theorem combined with the technique of measures of weak noncompactness.

引用

页数：12

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