Impulsive Problems for Fractional Differential Equations with Nonlocal Boundary Value Conditions

被引：0

作者：

Li, Peiluan ^{[1
]}

Shang, Youlin ^{[1
]}

机构：

[1] Henan Univ Sci & Technol, Dept Math & Stat, Luoyang 471023, Henan, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.1155/2014/510808

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the nonlocal boundary value problems of impulsive fractional differential equations. By Banach's contraction mapping principle, Schaefer's fixed point theorem, and the nonlinear alternative of Leray-Schauder type, some related new existence results are established via a new special hybrid singular type Gronwall inequality. At last, some examples are also given to illustrate the results.

引用

页数：13

共 29 条

[1] A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions [J].

Agarwal, Ravi P. ;

Benchohra, Mouffak ;

Hamani, Samira .

ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (03) :973-1033

[2] On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order [J].

Ahmad, Bashir ;

Sivasundaram, S. .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (02) :480-487

[3]

[Anonymous], 2010, LECT NOTES MATH

[4]

[Anonymous], 1993, INTRO FRACTIONAL CA

[5]

[Anonymous], 2006, Journal of the Electrochemical Society

[6] Positive solutions for boundary value problem of nonlinear fractional differential equation [J].

Bai, ZB ;

Lü, HS .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 311 (02) :495-505

[7] Existence results for fractional order functional differential equations with infinite delay [J].

Benchohra, A. ;

Henderson, J. ;

Ntouyas, S. K. ;

Ouahab, A. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (02) :1340-1350

[8] Boundary value problems for differential equations with fractional order and nonlocal conditions [J].

Benchohra, M. ;

Hamani, S. ;

Ntouyas, S. K. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) :2391-2396

[9] Existence results for boundary value problems with non-linear fractional differential equations [J].

Benchohra, Mouffak ;

Graef, John R. ;

Hamani, Samira .

APPLICABLE ANALYSIS, 2008, 87 (07) :851-863

[10] Positive solutions of a system of non-autonomous fractional differential equations [J].

Daftardar-Gejji, V .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 302 (01) :56-64

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