Existence results for Caputo type fractional differential equations with four-point nonlocal fractional integral boundary conditions

被引:0
作者
Ahmad, Bashir [1 ]
Alsaedi, Ahmed [1 ]
Assolami, Afrah [1 ]
机构
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
关键词
Fractional differential equations; nonlocal integral boundary conditions; existence; fixed point theorems;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper presents some existence and uniqueness results for a boundary value problem of fractional differential equations of order alpha is an element of (1,2] with four-point nonlocal fractional integral boundary conditions. Our results are based on some standard tools of fixed point theory and nonlinear alternative of Leray-Schauder type. Some illustrative examples are also discussed.
引用
收藏
页码:1 / 11
页数:11
相关论文
共 24 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]   Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations [J].
Agarwal, Ravi P. ;
de Andrade, Bruno ;
Cuevas, Claudio .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) :3532-3554
[3]   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
[4]  
Ahmad B, 2009, BOUND VALUE PROBL 20
[5]  
Ahmad B., 2011, ELECT J QUAL THEORY
[6]  
Ahmad B, 2012, FRACT CALC IN PRESS, V15
[7]  
Ahmad B, 2012, ABSTR APPL AN 2012
[8]  
Ahmad B., 2011, DYN CONTIN DISCRET I, V18, P535
[9]  
Ahmad B., 2011, BOUND VALUE PROBL, V2011, P9
[10]   On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order [J].
Ahmad, Bashir ;
Sivasundaram, S. .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (02) :480-487