Solvability of a Coupled System of Fractional Differential Equations with Nonlocal and Integral Boundary Conditions

被引：0
|
作者：
Ahmad, Bashir [1 ]
Ntouyas, Sotiris K. [1 ,2 ]
Alsaedi, Ahmed [1 ]
Hobiny, Aatef [1 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
来源：
FUNDAMENTA INFORMATICAE | 2017年 / 151卷 / 1-4期
关键词：
Fractional differential equations; coupled system; nonlocal conditions; integral boundary conditions; fixed point theorems; POSITIVE SOLUTIONS; CAUCHY-PROBLEM; EXISTENCE; IDENTIFICATION; APPROXIMATION; UNIQUENESS;
D O I：
10.3233/FI-2017-1481
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
This paper is concerned with the existence and uniqueness of solutions for a coupled system of fractional differential equations with nonlocal and integral boundary conditions. The existence and uniqueness of solutions is established by Banach's contraction principle, while the existence of solutions is derived by using Leray-Schauder's alternative. The results are explained with the aid of examples. The case of nonlocal strip conditions is also discussed.
引用
收藏
页码：91 / 108
页数：18
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