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  • 标题:A new transform method in nabla discrete fractional calculus
  • 本地全文:下载
  • 作者:Fahd Jarad ; Billur Kaymakçalan ; Kenan Taş
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2012
  • 卷号:2012
  • 期号:1
  • 页码:190
  • DOI:10.1186/1687-1847-2012-190
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Starting from the definition of the Sumudu transform on a general nabla time scale, we define the generalized nabla discrete Sumudu transform. We obtain the nabla discrete Sumudu transform of Taylor monomials, fractional sums, and differences. We apply this transform to solve some fractional difference equations with initial value problems. MSC:44A15, 44A55.
  • 关键词:discrete Sumudu transform ; fractional sums ; fractional differences ; convolution ; time scale
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