Existence of solutions for sequential fractional differential equations with four-point nonlocal fractional integral boundary conditions

被引:1
作者
Ahmad, Bashir [1 ]
Alsaedi, Ahmed [1 ]
Al-Hutami, Hana [1 ]
机构
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
来源
CENTRAL EUROPEAN JOURNAL OF PHYSICS | 2013年 / 11卷 / 10期
关键词
sequential fractional differential equations; nonlocal; integral boundary conditions; existence; fixed point;
D O I
10.2478/s11534-013-0193-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper investigates the existence of solutions for a nonlinear boundary value problem of sequential fractional differential equations with four-point nonlocal Riemann-Liouville type fractional integral boundary conditions. We apply Banach's contraction principle and Krasnoselskii's fixed point theorem to establish the existence of results. Some illustrative examples are also presented.
引用
收藏
页码:1487 / 1493
页数:7
相关论文
共 20 条
[1]   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
[2]   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
[3]   Sequential fractional differential equations with three-point boundary conditions [J].
Ahmad, Bashir ;
Nieto, Juan J. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) :3046-3052
[4]   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
[5]   Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces [J].
Akyildiz, F. Talay ;
Bellout, Hamid ;
Vajravelu, Kuppalapalle ;
Van Gorder, Robert A. .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (06) :2919-2930
[6]  
[Anonymous], 2012, Series on Complexity, Nonlinearity and Chaos, DOI 10.1142/10044
[7]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[8]  
[Anonymous], 2006, Journal of the Electrochemical Society
[9]  
[Anonymous], ELECT J QUAL THEORY
[10]  
[Anonymous], 1980, FIXED POINT THEOREMS