Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions

被引：105
|
作者：
Ahmad, Bashir [1 ]
Ntouyas, Sotiris K. [1 ,2 ]
机构：
[1] King Abdulaziz Univ, Dept Math, NAAM Res Grp, Fac Sci, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 266卷
关键词：
Fractional differential systems; Sequential fractional derivative; Integral boundary conditions; Fixed point theorems;
D O I：
10.1016/j.amc.2015.05.116
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the existence and uniqueness of solutions for a coupled system of Caputo type sequential fractional differential equations supplemented with nonlocal Riemann-Liouville integral boundary conditions. The existence of solutions is derived by applying Leray-Schaucier's alternative, while the uniqueness of solution is established via Banach's contraction principle. An illustrative example is also included. The paper concludes with some interesting observations. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：615 / 622
页数：8
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