Hyers-Ulam stability analysis to implicit Cauchy problem of fractional differential equations with impulsive conditions

被引：56

作者：

Shah, Kamal ^{[1
]}

Ali, Arshad ^{[1
]}

Bushnaq, Samia ^{[2
]}

机构：

[1] Univ Malakand, Dept Math, Khyber Pakhtunkhwa, Pakistan

[2] Princess Sumaya Univ Technol, Dept Basic Sci, Amman 11941, Jordan

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 17期

关键词：

Caputo derivative; existence theory; Hyers-Ulam stability; impulsive condition; EXISTENCE;

D O I：

10.1002/mma.5292

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we deal with the existence and Hyers-Ulam stability of solution to a class of implicit fractional differential equations (FDEs), having some initial and impulsive conditions. Some adequate conditions for the required results are obtained by utilizing fixed point theory and nonlinear functional analysis. At the end, we provide an illustrative example to demonstrate the applications of our obtained results.

引用

页码：8329 / 8343

页数：15

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