Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions

被引：26

作者：

Zada, Akbar ^{[1
]}

Yar, Mohammad ^{[1
]}

Li, Tongxing ^{[2
,3
]}

机构：

[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan

[2] Linyi Univ, LinDa Inst Shandong Prov, Key Lab Network Based Intelligent Comp, Linyi 276005, Shandong, Peoples R China

[3] Linyi Univ, Sch Informat Sci & Engn, Linyi 276005, Shandong, Peoples R China

来源：

ANNALES UNIVERSITATIS PAEDAGOGICAE CRACOVIENSIS-STUDIA MATHEMATICA | 2018年 / 17卷 / 01期

关键词：

Caputo fractional derivative; Riemann-Liouville fractional integral; coupled system; existence; uniqueness; fixed point theorem; Hyers-Ulam stability;

D O I：

10.2478/aupcsm-2018-0009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study existence and uniqueness of solutions for a coupled system consisting of fractional differential equations of Caputo type, subject to Riemann-Liouville fractional integral boundary conditions. The uniqueness of solutions is established by Banach contraction principle, while the existence of solutions is derived by Leray-Schauder's alternative. We also study the Hyers-Ulam stability of mentioned system. At the end, examples are also presented which illustrate our results.

引用

页码：103 / 125

页数：23

共 36 条

[1] A Coupled System of Caputo-Type Sequential Fractional Differential Equations with Coupled (Periodic/Anti-periodic Type) Boundary Conditions [J].