Stability analysis of a class of fractional delay differential equations

被引：26

作者：

Bhalekar, Sachin B. ^{[1
]}

机构：

[1] Shivaji Univ, Dept Math, Kolhapur 416004, Maharashtra, India

来源：

PRAMANA-JOURNAL OF PHYSICS | 2013年 / 81卷 / 02期

关键词：

Caputo derivative; delay; eigenvalues; stability; logistic equation; SYSTEMS; ALGORITHM; STATE;

D O I：

10.1007/s12043-013-0569-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we analyse stability of nonlinear fractional order delay differential equations of the form , where D (alpha) is a Caputo fractional derivative of order 0 < alpha a parts per thousand currency signaEuro parts per thousand 1. We describe stability regions using critical curves. To explain the proposed theory, we discuss fractional order logistic equation with delay.

引用

页码：215 / 224

页数：10

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