MULTIPLE SOLUTIONS OF NONLINEAR FRACTIONAL IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS

被引：1

作者：

Wang, Xuhuan ^{[1
]}

Lu, Liang ^{[2
]}

Liang, Jitai ^{[3
]}

机构：

[1] Pingxiang Univ, Dept Educ Sci, Pingxiang 337055, Jiangxi, Peoples R China

[2] Hezhou Univ, Coll Sci, Hezhou 542899, Guangxi, Peoples R China

[3] Yunnan Normal Univ, Sch Business, Kunming 650106, Yunnan, Peoples R China

来源：

MATHEMATICA SLOVACA | 2016年 / 66卷 / 05期

关键词：

Caputo fractional derivative; impulsive integro-differential equations; multiple solutions; nonlinear boundary conditions; upper and lower solutions; DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; EXISTENCE; ORDER; STABILITY; SYSTEMS;

D O I：

10.1515/ms-2016-0207

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence of multiple solutions of fractional impulsive integro-differential equations with nonlinear boundary conditions. By applying the Amann theorem and the method of upper and lower solutions, we obtain some new results on the multiple solutions. (C) 2016 Mathematical Institute Slovak Academy of Sciences

引用

页码：1105 / 1114

页数：10

共 26 条

[1] 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

[2] FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES [J].

AMANN, H .

SIAM REVIEW, 1976, 18 (04) :620-709

[3]

[Anonymous], 2006, THEORY APPL FRACTION

[4] On the concept and existence of solution for impulsive fractional differential equations [J].

Feckan, Michal ;

Zhou, Yong ;

Wang, JinRong .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (07) :3050-3060

[5]

GUO D. J., 1995, FUNCTIONAL MOTHOD NO

[6] A class of BVPS for first order impulsive integro-differential equations [J].

Liang, Jitai ;

Liu, Yiliang ;

Liu, Zhenhai .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (07) :3667-3672

[7] Multiple solutions for fractional differential equations with nonlinear boundary conditions [J].

Liu, Xiping ;

Jia, Mei .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (08) :2880-2886

[8]

Liu ZH, 2014, B MALAYS MATH SCI SO, V37, P239

[9] Nonlinear boundary value problems of fractional functional integro-differential equations [J].

Liu, Zhenhai ;

Sun, Jihua .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) :3228-3234

[10] Nonlinear boundary value problems of fractional differential systems [J].

Liu, Zhenhai ;

Sun, Jihua .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (04) :463-475

← 1 2 3 →