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On stable manifolds for fractional differential equations in high-dimensional spaces

Nonlinear Dynamics volume 86, pages 1885–1894 (2016)Cite this article

An Erratum to this article was published on 26 August 2016

Abstract

Our aim in this paper is to establish stable manifolds near hyperbolic equilibria of fractional differential equations in arbitrary finite-dimensional spaces.

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Acknowledgments

This research of the N. D. Cong, T. S. Doan, and H. T. Tuan is funded by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant Number 101.03-2014.42.

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Authors and Affiliations

  1. Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Ha Noi, 10307, Vietnam

    N. D. Cong, T. S. Doan & H. T. Tuan

  2. Department of Mathematics, Hokkaido University, Sapporo, Japan

    T. S. Doan

  3. Department of Mathematics, Center for Dynamics, Technische Universität Dresden, Zellescher Weg 12-14, 01069, Dresden, Germany

    S. Siegmund

Authors
  1. N. D. Cong
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  2. T. S. Doan
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  3. S. Siegmund
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  4. H. T. Tuan
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Corresponding author

Correspondence to S. Siegmund.

Additional information

An erratum to this article can be found at http://dx.doi.org/10.1007/s11071-016-3039-z.

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Cong, N.D., Doan, T.S., Siegmund, S. et al. On stable manifolds for fractional differential equations in high-dimensional spaces. Nonlinear Dyn 86, 1885–1894 (2016). https://doi.org/10.1007/s11071-016-3002-z

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  • DOI: https://doi.org/10.1007/s11071-016-3002-z

Keywords

  • Stable manifold
  • Fractional differential equation
  • Lyapunov stability