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  • 标题:On Riemann-Liouville and Caputo Derivatives
  • 本地全文:下载
  • 作者:Changpin Li ; Deliang Qian ; YangQuan Chen
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2011
  • 卷号:2011
  • DOI:10.1155/2011/562494
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Recently, many models are formulated in terms of fractional derivatives, such as in control processing, viscoelasticity, signal processing, and anomalous diffusion. In the present paper, we further study the important properties of the Riemann-Liouville (RL) derivative, one of mostly used fractional derivatives. Some important properties of the Caputo derivative which have not been discussed elsewhere are simultaneously mentioned. The partial fractional derivatives are also introduced. These discussions are beneficial in understanding fractional calculus and modeling fractional equations in science and engineering.
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