Some new existence and uniqueness results of solutions to semilinear impulsive fractional integro-differential equations

被引：8

作者：

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

Liu, Xu ^{[1
]}

Zhang, Jian-Gang ^{[1
]}

机构：

[1] Lanzhou Jiaotong Univ, Coll Math & Phys, Lanzhou 730070, Peoples R China

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

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2015年

基金：

中国国家自然科学基金;

关键词：

boundary value problem; impulsive fractional integro-differential equations; Caputo fractional derivative; existence of solutions; fixed point theorem; BOUNDARY-VALUE PROBLEM; NONLINEAR DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; ORDER; SPACES;

D O I：

10.1186/s13662-015-0372-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the existence and uniqueness of solutions for the boundary value problem of semilinear impulsive integro-differential equations of fractional order q is an element of (1, 2]. Our results are based on the Altman fixed point theorem and a standard fixed point theorem. Two examples are presented to illustrate the main results.

引用

页数：16

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