A boundary value problem of fractional differential equations with anti-periodic type integral boundary conditions

被引:0
作者
Ahmad, Bashir [1 ]
Ntouyas, S. K. [2 ]
机构
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
关键词
Fractional differential equations; antiperiodic; integral boundary conditions; existence; nonlinear alternative of Leray Schauder type; fixed point theorems; EXISTENCE;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we discuss the existence of solutions for fractional differential equations of order q is an element of (2,3] with anti-periodic type integral boundary conditions. Our results are based on Leray-Schauder nonlinear alternative and some standard tools of fixed point theory.
引用
收藏
页码:1372 / 1380
页数:9
相关论文
共 25 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]   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
[3]   A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions [J].
Ahmad, Bashir ;
Ntouyas, Sotiris K. .
ABSTRACT AND APPLIED ANALYSIS, 2012,
[4]   Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions [J].
Ahmad, Bashir ;
Nieto, Juan J. .
BOUNDARY VALUE PROBLEMS, 2011, :1-9
[5]   EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED TYPE INTEGRAL BOUNDARY CONDITIONS [J].
Ahmad, Bashir ;
Nieto, Juan J. ;
Alsaedi, Ahmed .
ACTA MATHEMATICA SCIENTIA, 2011, 31 (06) :2122-2130
[6]  
Ahmad B, 2011, ELECTRON J QUAL THEO, P1
[7]   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
[8]  
Ahmad B, 2010, TOPOL METHOD NONL AN, V35, P295
[9]   Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations [J].
Ahmad, Bashir .
APPLIED MATHEMATICS LETTERS, 2010, 23 (04) :390-394
[10]  
[Anonymous], 2011, SPRINGER BRIEFS MATH