NONLINEAR COUPLED LIOUVILLE-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH A NEW CLASS OF NONLOCAL BOUNDARY CONDITIONS

被引：3

作者：

Ahmad, Bashir ^{[1
]}

Alsaedi, Ahmed ^{[1
]}

Alotaibi, Fawziah M. ^{[1
]}

Alghanmi, Madeaha ^{[2
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

[2] King Abdulaziz Univ, Coll Sci & Arts, Dept Math, Rabigh 21911, Saudi Arabia

来源：

MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 01期

关键词：

Coupled fractional differential equations; nonlocal multipoint boundary conditions; existence; fixed point; POSITIVE SOLUTIONS; ORDER; OPERATORS; CALCULUS; SYSTEM;

D O I：

10.18514/MMN.2023.3839

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 nonlinear Liouville-Caputo fractional differential equations equipped with a new set of nonlocal boundary conditions involving an ar-bitrary strip together with two sets of nonlocal multi-points on either part of the strip on the given domain. We emphasize that the boundary conditions considered in this study are formulated with respect to the sum and difference of the unknown functions. We apply the well-known tools of the fixed point theory to derive the main results. Examples are presented for the illustration of the obtained results.2010 Mathematics Subject Classification: 34A08; 34B10; 34B15

引用

页码：31 / 46

页数：16

共 22 条

[21] Finite-time synchronization of fractional-order complex-valued coupled systems [J].

Xu, Yao ;

Li, Wenxue .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 549

[22] Properties of positive solutions to a class of four-point boundary value problem of Caputo fractional differential equations with a parameter [J].

Zhai, Chengbo ;

Xu, Li .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (08) :2820-2827

← 1 2 3 →