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Asymptotical stability analysis of linear fractional differential systems

  • Applied Mathematics and Mechanics
  • Published:
Journal of Shanghai University (English Edition)

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.

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Authors and Affiliations

  1. Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, P. R. China

    Chang-pin Li  (李常品) & Zhen-gang Zhao  (找振刚)

Authors
  1. Chang-pin Li  (李常品)
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  2. Zhen-gang Zhao  (找振刚)
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Correspondence to Chang-pin Li  (李常品).

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Li, Cp., Zhao, Zg. Asymptotical stability analysis of linear fractional differential systems. J. Shanghai Univ.(Engl. Ed.) 13, 197–206 (2009). https://doi.org/10.1007/s11741-009-0302-1

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  • DOI: https://doi.org/10.1007/s11741-009-0302-1

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