Generalized anti-periodic boundary value problems of impulsive fractional differential equations

被引：42

作者：

Li, Xiaoping ^{[2
,3
]}

Chen, Fulai ^{[3
]}

Li, Xuezhu ^{[1
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

[2] Jilin Univ, Math Sch & Inst, Jilin 130012, Peoples R China

[3] Xiangnan Univ, Dept Math, Chenzhou 423000, Hunan, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2013年 / 18卷 / 01期

关键词：

Impulsive fractional differential equations; Anti-periodic; Boundary value problems; Solutions; Hybrid singular type Gronwall inequality; EXISTENCE;

D O I：

10.1016/j.cnsns.2012.06.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a generalized anti-periodic boundary value problem for an impulsive fractional differential equation is studied. A natural formula of solutions is derived and new existence theorems of the solutions are established under the mixed nonlinear D-contraction condition, comparison condition, sublinear growth condition and nonlinear growth condition via fixed point methods. In particular, a new special hybrid singular type Gronwall inequality is established to obtain a prior bounds of the solutions. (c) 2012 Elsevier B.V. All rights reserved.

引用

页码：28 / 41

页数：14

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