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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

Abstract

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.

Keywords

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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