• DocumentCode
    3195595
  • Title

    Numerical solution for fractional-order differential systems with time domain and frequency domain methods

  • Author

    Xiao, Ke ; Zhou, Shangbo ; Zhang, Weiwei

  • Author_Institution
    Computer Department of Chongqing University, 400044, China
  • fYear
    2008
  • fDate
    25-27 May 2008
  • Firstpage
    1130
  • Lastpage
    1134
  • Abstract
    For a general nonlinear fractional-order differential equation, the numerical solution is a good way to approximate the trajectory of such systems. In this paper, a novel algorithm for numerical solution of fractional-order differential equations based on the definition of Grunwald-Letnikov is presented. The results of numerical solution by using the novel method and the frequency domain method are compared, and the limitations of frequency domain method are discussed.
  • Keywords
    Calculus; Cellular neural networks; Chaos; Differential equations; Frequency domain analysis; Function approximation; Integral equations; Laplace equations; Nonlinear equations; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Communications, Circuits and Systems, 2008. ICCCAS 2008. International Conference on
  • Conference_Location
    Xiamen
  • Print_ISBN
    978-1-4244-2063-6
  • Electronic_ISBN
    978-1-4244-2064-3
  • Type

    conf

  • DOI
    10.1109/ICCCAS.2008.4657966
  • Filename
    4657966