Existence and stability of impulsive coupled system of fractional integrodifferential equations

被引：42

作者：

Zada, Akbar ^{[1
]}

Waheed, Hira ^{[1
]}

Alzabut, Jehad ^{[2
]}

Wang, Xiaoming ^{[3
]}

机构：

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

[2] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 11586, Saudi Arabia

[3] Shangrao Normal Univ, Sch Math & Comp Sci, Shangrao 334001, Peoples R China

来源：

DEMONSTRATIO MATHEMATICA | 2019年 / 52卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Caputo fractional derivative; impulsive condition; existence and uniqueness theory; Hyers-Ulam stability; BOUNDARY-VALUE-PROBLEMS; ALMOST-PERIODIC SOLUTIONS; HYERS-ULAM STABILITY; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTION; DELAY; POINT;

D O I：

10.1515/dema-2019-0035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this manuscript, we deal with a class and coupled system of implicit fractional differential equations, having some initial and impulsive conditions. Existence and uniqueness results are obtained by means of Banach's contraction mapping principle and Krasnoselskii's fixed point theorem. Hyers-Ulam stability is investigated by using classical technique of nonlinear functional analysis. Finally, we provide illustrative examples to support our obtained results.

引用

页码：296 / 335

页数：40

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