An instability theorem for nonlinear fractional differential systems

Research output: Contribution to journal › Research article › Contributed › peer-review

Contributors

  • Nguyen Dinh Cong - , Vietnamese Academy of Science and Technology (Author)
  • D.T. Son - , Vietnamese Academy of Science and Technology, Hokkaido University (Author)
  • Stefan Siegmund - , Center for Dynamics (CfD), Chair of Dynamics and Control, TUD Dresden University of Technology (Author)
  • Hoang The Tuan - , Vietnamese Academy of Science and Technology (Author)

Abstract

In this paper, we give a criterion on instability of an equilibrium of a nonlinear Caputo fractional differential system. More precisely, we prove that if the spectrum of the linearization has at least one eigenvalue in the sector n 2 C n f0g : j arg j 2o;where 2 (0; 1) is the order of the fractional differential system, then the equilibrium of the nonlinear system is unstable.

Details

Original languageEnglish
Pages (from-to)3079-3090
Number of pages12
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume22
Issue number8
Publication statusPublished - Oct 2017
Peer-reviewedYes

External IDs

ORCID /0000-0003-0967-6747/work/149795393

Keywords

ASJC Scopus subject areas

Keywords

  • Fractional differential equations, Instability condition, Qualitative theory, Stability theory