EXISTENCE RESULTS FOR IMPULSIVE NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS

被引：0

作者：

Liu, Zhenhai ^{[1
]}

Lv, Jingyun ^{[1
]}

机构：

[1] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi Provinc, Peoples R China

来源：

MATHEMATICA SLOVACA | 2015年 / 65卷 / 06期

关键词：

Caputo fractional derivative; impulsive fractional differential equations; nonlocal boundary conditions; fixed point theorem; INTEGRODIFFERENTIAL EQUATIONS; CONTROLLABILITY; UNIQUENESS;

D O I：

10.1515/ms-2015-0090

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the existence and uniqueness of solutions of fractional impulsive differential equations with nonlocal boundary conditions by applying the contraction mapping principle. (C) 2015 Mathematical Institute Slovak Academy of Sciences

引用

页码：1291 / 1308

页数：18

共 34 条

[1] Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions [J].

Ahmad, Bashir ;

Nieto, Juan J. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) :3291-3298

[2] Existence of solutions for impulsive integral boundary value problems of fractional order [J].

Ahmad, Bashir ;

Sivasundaram, S. .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (01) :134-141

[3] Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations [J].

Ahmad, Bashir ;

Sivasundaram, S. .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (03) :251-258

[4]

Anguraj A., 2010, FRACTIONAL CALCULUS, V13, P281

[5] On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces [J].

Balachandran, K. ;

Kiruthika, S. ;

Trujillo, J. J. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) :1157-1165

[6] Existence results for fractional impulsive integrodifferential equations in Banach spaces [J].

Balachandran, K. ;

Kiruthika, S. ;

Trujillo, J. J. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (04) :1970-1977

[7]

Benchohra M, 2009, ELECTRON J DIFFER EQ

[8]

Benchohra M, 2010, ELECTRON J QUAL THEO, P1

[9] The method of upper and lower solutions and impulsive fractional differential inclusions [J].

Benchohra, Mouffak ;

Hamani, Samira .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (04) :433-440

[10] On the solutions for impulsive fractional functional differential equations [J].

Chen F. ;

Chen A. ;

Wang X. .

Differential Equations and Dynamical Systems, 2009, 17 (4) :379-391

← 1 2 3 4 →