Stability analysis of a class of fractional delay differential Equations

Abstract

In this paper we analyse stability of nonlinear fractional order delay differential equations of the form Dα y(t) = a f (y(t - τ) - by(t), where Dα is a Caputo fractional derivative of order 0 < α 1. We describe stability regions using critical curves. To explain the proposed c Indian Academy of Sciences theory, we discuss fractional order logistic equation with delay. © Indian Academy of Sciences.