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https://www.ias.ac.in/article/fulltext/pram/081/02/0215-0224

Caputo derivative; delay; eigenvalues; stability; logistic equation.

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

Sachin B Bhalekar¹

1. Department of Mathematics, Shivaji University, Vidyanagar, Kolhapur 416 004, India

Published

August 2013