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  • 标题:Spectral-Collocation Methods for Fractional Pantograph Delay-Integrodifferential Equations
  • 本地全文:下载
  • 作者:Yin Yang ; Yunqing Huang
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2013
  • 卷号:2013
  • 页码:1-14
  • DOI:10.1155/2013/821327
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    We propose and analyze a spectral Jacobi-collocation approximation for fractional order integrodifferential equations of Volterra type with pantograph delay. The fractional derivative is described in the Caputo sense. We provide a rigorous error analysis for the collocation method, which shows that the error of approximate solution decays exponentially in L ∞ norm and weighted L 2 -norm. The numerical examples are given to illustrate the theoretical results.

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