On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations

被引：15

作者：

Alsaedi, Ahmed ^{[1
]}

Ahmad, Bashir ^{[1
]}

Assolami, Afrah ^{[1
]}

机构：

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

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

关键词：

EXISTENCE;

D O I：

10.1155/2012/325984

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study an antiperiodic boundary value problem of nonlinear fractional differential equations of order q is an element of (4, 5]. Some existence results are obtained by applying some standard tools of fixed-point theory. We show that solutions for lower-order anti-periodic fractional boundary value problems follow from the solution of the problem at hand. Our results are new and generalize the existing results on anti-periodic fractional boundary value problems. The paper concludes with some illustrating examples.

引用

页数：15

共 29 条

[1] 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

[2] Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions [J].

Agarwal, Ravi P. ;

Ahmad, Bashir .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) :1200-1214

[3] On the concept of solution for fractional differential equations with uncertainty [J].

Agarwal, Ravi P. ;

Lakshmikantham, V. ;

Nieto, Juan J. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (06) :2859-2862

[4] ON THE EXISTENCE OF SOLUTIONS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS [J].

Aghajani, Asadollah ;

Jalilian, Yaghoub ;

Trujillo, Juan J. .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2012, 15 (01) :44-69

[5] Anti-periodic fractional boundary value problems with nonlinear term depending on lower order derivative [J].

Ahmad, Bashir ;

Nieto, Juan J. .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2012, 15 (03) :451-462

[6] Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions [J].

Ahmad, Bashir ;

Nieto, Juan J. .

BOUNDARY VALUE PROBLEMS, 2011, :1-9

[7] A study of nonlinear Langevin equation involving two fractional orders in different intervals [J].

Ahmad, Bashir ;

Nieto, Juan J. ;

Alsaedi, Ahmed ;

El-Shahed, Moustafa .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (02) :599-606

[8] Anti-periodic fractional boundary value problems [J].

Ahmad, Bashir ;

Nieto, Juan J. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) :1150-1156

[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]

Ahmad B, 2010, TOPOL METHOD NONL AN, V35, P295

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