Comments on the concept of existence of solution for impulsive fractional differential equations

被引：68

作者：

Wang, Guotao ^{[1
]}

Ahmad, Bashir ^{[2
]}

Zhang, Lihong ^{[1
]}

Nieto, Juan J. ^{[2
,3
]}

机构：

[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[3] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 03期

关键词：

Fractional differential equations; Caputo derivative; Impulse; Existence;

D O I：

10.1016/j.cnsns.2013.04.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In some recent works dealing with the existence of solutions for impulsive fractional differential equations, it is pointed out that the concept of solutions for such equations in some preceding papers is incorrect. In support of this claim, the authors of these papers begin with a counterexample. The objective of this note to indicate the mistake in these counterexamples and show the plausibility of the previous results. (c) 2013 Published by Elsevier B.V.

引用

页码：401 / 403

页数：3

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