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

被引：36

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

页码：3988 / 3993

页数：6

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