• Stability analysis of a class of fractional delay differential equations

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

    • Keywords

       

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

    • Abstract

       

      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.

    • Author Affiliations

       

      Sachin B Bhalekar1

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

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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