Analysis of Nonlinear Coupled Systems of Impulsive Fractional Differential Equations with Hadamard Derivatives

被引：34

作者：

Riaz, Usman ^{[1
]}

Zada, Akbar ^{[1
]}

Ali, Zeeshan ^{[1
]}

Ahmad, Manzoor ^{[1
]}

Xu, Jiafa ^{[2
]}

Fu, Zhengqing ^{[3
]}

机构：

[1] Univ Peshawar, Dept Math, Peshawar, Khyber Pakhtunk, Pakistan

[2] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2019年 / 2019卷

基金：

中国国家自然科学基金;

关键词：

BOUNDARY-VALUE PROBLEM; HYERS-ULAM STABILITY; POSITIVE SOLUTIONS; UNIQUENESS; EXISTENCE;

D O I：

10.1155/2019/5093572

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This work is committed to establishing the assumptions essential for at least one and unique solution of a switched coupled system of impulsive fractional differential equations having derivative of Hadamard type. Using Krasnoselskii's fixed point theorem, the existence, as well as uniqueness results, is obtained. Along with this, different kinds of Hyers-Ulam stability are discussed. For supporting the theory, example is provided.

引用

页数：20

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