Coupled Fractional-Order Systems with Nonlocal Coupled Integral and Discrete Boundary Conditions

被引：5
|
作者：
Alsaedi, Ahmed [1 ]
Ntouyas, Sotiris K. [1 ,2 ]
Garout, Doa'a [1 ]
Ahmad, Bashir [1 ]
机构：
[1] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 01期
关键词：
Fractional differential equations; Caputo; Nonlocal integral conditions; Multi-point; Existence; Fixed point; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; EXTREMAL SOLUTIONS; EXISTENCE;
D O I：
10.1007/s40840-017-0480-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study a coupled system of Caputo fractional differential equations with nonlinearities depending on the unknown functions as well as their derivatives, equipped with new kinds of integral and multi-point (discrete) boundary conditions. In fact, we have introduced the idea of unification of coupled strip and multi-point boundary conditions with their different variants in the present work. Though we apply the standard tools of the fixed point theory to develop the existence criteria for the solutions of given problems, the obtained results are new in the given scenario. Some examples illustrating the main results are also presented.
引用
收藏
页码：241 / 266
页数：26
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