Existence results for a coupled system of nonlinear multi-term fractional differential equations with anti-periodic type coupled nonlocal boundary conditions

被引：8

作者：

Ahmad, Bashir ^{[1
]}

Alblewi, Manal ^{[1
]}

Ntouyas, Sotiris K. ^{[1
,2
]}

Alsaedi, Ahmed ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia

[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 11期

关键词：

existence; fixed point theorems; fractional derivative; fractional differential equations; systems; INTEGRODIFFERENTIAL EQUATIONS; INCLUSIONS;

D O I：

10.1002/mma.7301

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 coupled system of nonlinear multi-term fractional differential equations with anti-periodic type coupled nonlocal boundary conditions. The existence of a unique solution is proved via Banach contraction mapping principle, while two existence results are proved by using Krasnosel'skiic's fixed point theorem and Leray-Schauder alternative. We also discuss a variant of the proposed problem involving fractional differential types nonlinearities. The obtained results are well illustrated by numerical examples.

引用

页码：8739 / 8758

页数：20

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