Existence of solutions for the nonlinear multiple base points impulsive fractional differential equations with the three-point boundary conditions

被引：2

作者：

Hu, Yuxin ^{[1
]}

Li, Fang ^{[1
]}

机构：

[1] Yunnan Normal Univ, Sch Math, Kunming 650092, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

关键词：

nonlinear multiple base points fractional differential equations; three-point boundary value problem; impulsive condition;

D O I：

10.1186/s13662-017-1111-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a class of nonlinear multiple base points impulsive fractional differential equations involving the three-point boundary conditions. A new result on the existence of a solution is established by using fixed point theorems. An example is presented to illustrate the result.

引用

页数：14

共 15 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] EXISTENCE OF SOLUTIONS FOR IMPULSIVE ANTI-PERIODIC BOUNDARY VALUE PROBLEMS OF FRACTIONAL ORDER [J].

Ahmad, Bashir ;

Nieto, Juan J. .

TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (03) :981-993

[3]

[Anonymous], 2006, Journal of the Electrochemical Society

[4]

Ashyralyev A., 2012, ABSTR APPL ANAL, V2012

[5] 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

[6] On recent developments in the theory of abstract differential equations with fractional derivatives [J].

Hernandez, Eduardo ;

O'Regan, Donal ;

Balachandran, Krishnan .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (10) :3462-3471

[7]

Kaufmann ER, 2008, ELECTRON J QUAL THEO, V3, P11

[8]

Lan KQ., 2013, COMMUN APPL ANAL, V17, P61

[9] Nonlocal impulsive problems for nonlinear differential equations in Banach spaces [J].

Liang, Jin ;

Liu, James H. ;

Xiao, Ti-Jun .

MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (3-4) :798-804

[10]

Liu YJ, 2014, SCI WORLD J, V2014

← 1 2 →