On the oscillation of fractional-order delay differential equations with constant coefficients

被引：37
|
作者：
Bolat, Yasar [1 ]
机构：
[1] Kastamonu Univ, Fac Art & Sci, Dept Math, Kastamonu, Turkey
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 11期
关键词：
Oscillation; Delay differential equation; Fractional-order differential equation; Fractional-order derivative; 2ND-GRADE FLUID; SYNCHRONIZATION;
D O I：
10.1016/j.cnsns.2014.01.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this manuscript, some oscillation results are given including sufficient conditions or necessary and sufficient conditions for the oscillation of fractional-order delay differential equations with constant coefficients. For this, a-exponential function which is a kind of functions that play the same role of the classical exponential functions and Laplace transformation formulations of fractional-order derivatives are used. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：3988 / 3993
页数：6
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