Asymptotical stability analysis of linear fractional differential systems

  • Chang-pin Li (李常品)Email author
  • Zhen-gang Zhao (找振刚)
Applied Mathematics and Mechanics


It has been recently found that many models were established with the aid of fractional derivatives, such as viscoelastic systems, colored noise, electrode-electrolyte polarization, dielectric polarization, boundary layer effects in ducts, electromagnetic waves, quantitative finance, quantum evolution of complex systems, and fractional kinetics. In this paper, the asymptotical stability of higher-dimensional linear fractional differential systems with the Riemann-Liouville fractional order and Caputo fractional order were studied. The asymptotical stability theorems were also derived.


fractional differential system Mittag-Leffler function asymptotical stability 


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Copyright information

© Shanghai University and Springer-Verlag GmbH 2009

Authors and Affiliations

  • Chang-pin Li (李常品)
    • 1
    Email author
  • Zhen-gang Zhao (找振刚)
    • 1
  1. 1.Department of Mathematics, College of SciencesShanghai UniversityShanghaiP. R. China

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