Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order

被引：155

作者：

Wang, Guotao ^{[1
]}

Ahmad, Bashir ^{[2
]}

Zhang, Lihong ^{[1
]}

机构：

[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China

[2] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 03期

关键词：

Nonlinear fractional differential equations; Impulse; Anti-periodic boundary value problem; Fixed point theorem; EXISTENCE; INCLUSIONS;

D O I：

10.1016/j.na.2010.09.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence and uniqueness of solutions for an anti-periodic boundary value problem of nonlinear impulsive differential equations of fractional order alpha, is an element of (2, 3] by applying some well-known fixed point theorems. Some examples are presented to illustrate the main results. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：792 / 804

页数：13

共 48 条

[1] Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order [J].

Abbas, Said ;

Benchohra, Mouffak .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (03) :406-413

[2]

AGARWAL R, 2004, ARCH INEQUAL APPL, V2, P397, DOI DOI 10.1186/S13662-019-2053-0

[3]

Agarwal RP, 2008, MEM DIFFER EQU MATH, V44, P1

[4] A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative [J].

Agarwal, Ravi P. ;

Belmekki, Mohammed ;

Benchohra, Mouffak .

ADVANCES IN DIFFERENCE EQUATIONS, 2009, :1-47

[5]

AGARWAL RP, DYN CONTIN IN PRESS

[6] 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

[7] Existence of Solutions for Fractional Differential Inclusions with Antiperiodic Boundary Conditions [J].

Ahmad, Bashir ;

Otero-Espinar, Victoria .

BOUNDARY VALUE PROBLEMS, 2009,

[8] Existence Results for Nonlinear Boundary Value Problems of Fractional Integrodifferential Equations with Integral Boundary Conditions [J].

Ahmad, Bashir ;

Nieto, Juan J. .

BOUNDARY VALUE PROBLEMS, 2009,

[9] Existence of solutions for fractional differential equations of order q ∈ (2,3] with anti-periodic boundary conditions [J].

Ahmad B. .

Journal of Applied Mathematics and Computing, 2010, 34 (1-2) :385-391

[10] 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

← 1 2 3 4 5 →