Existence and uniqueness results for a nonlinear coupled system involving Caputo fractional derivatives with a new kind of coupled boundary conditions

被引：47

作者：

Ahmad, Bashir ^{[1
]}

Alghanmi, Madeaha ^{[1
]}

Alsaedi, Ahmed ^{[1
]}

Nieto, Juan J. ^{[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 Santiago de Compostela, Inst Matemat, Dept Estat Anal Matemat & Optimizac, Santiago De Compostela 15782, Spain

来源：

APPLIED MATHEMATICS LETTERS | 2021年 / 116卷

关键词：

Fractional differential equation; System; Nonlocal integral boundary conditions; Existence; Fixed point; DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.aml.2021.107018

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 nonlinear fractional-order coupled system involving Caputo fractional derivatives of different orders equipped with a new kind of coupled boundary conditions. We transform the given system into an equivalent fixed point problem and solve it by applying the standard fixed point theorems. Examples are constructed for the illustration of the obtained results. (c) 2021 Elsevier Ltd. All rights reserved.

引用

页数：10

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