Stability analysis of a class of fractional delay differential equations

Pramana

Sachin B Bhalekar1¹ 

[1] Department of Mathematics, Shivaji University, Vidyanagar, Kolhapur 416 004, India$$

关键词: Caputo derivative;    delay;    eigenvalues;    stability;    logistic equation.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper we analyse stability of nonlinear fractional order delay differential equations of the form $D^{𝛼} y(t) = af(y(t - 𝜏)) - {ext{by}} (t)$, where $D^{𝛼}$ is a Caputo fractional derivative of order 0 < 𝛼 ≤ 1. We describe stability regions using critical curves. To explain the proposed theory, we discuss fractional order logistic equation with delay.

【 授权许可】

Unknown