On stable manifolds for planar fractional differential equations

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

Contributors

  • N. D. Cong - , Vietnamese Academy of Science and Technology (Author)
  • Thai Son Doan - , Vietnamese Academy of Science and Technology, Imperial College London (Author)
  • S. Siegmund - , Center for Dynamics (CfD), Chair of Dynamics and Control (Author)
  • H. T. Tuan - , Vietnamese Academy of Science and Technology (Author)

Abstract

In this paper, we establish a local stable manifold theorem near a hyperbolic equilibrium point for planar fractional differential equations. The construction of this stable manifold is based on the associated Lyapunov-Perron operator. An example is provided to illustrate the result.

Details

Original languageEnglish
Pages (from-to)157-168
Number of pages12
JournalApplied Mathematics and Computation
Volume226
Publication statusPublished - 2014
Peer-reviewedYes

External IDs

Scopus 84888108579
ORCID /0000-0003-0967-6747/work/150327285

Keywords

Keywords

  • Caputo derivative, Fractional differential equations, Stable manifold theorem