A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions

被引：6
|
作者：
Ahmad, Bashir [1 ]
Hamdan, Soha [1 ]
Alsaedi, Ahmed [1 ]
Ntouyas, Sotiris K. [1 ,2 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期
关键词：
Fractional differential equations; Caputo fractional derivative; System; Existence; Fixed point theorems;
D O I：
10.1186/s13662-021-03440-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this research we introduce and study a new coupled system of three fractional differential equations supplemented with nonlocal multi-point coupled boundary conditions. Existence and uniqueness results are established by using the Leray-Schauder alternative and Banach's contraction mapping principle. Illustrative examples are also presented.
引用
收藏
页数：21
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