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  • 标题:Upon solutions to the transonic plane-parallel gas flows
  • 本地全文:下载
  • 作者:Yufeng Zhang ; Chao Yue ; Xiangzhi Zhang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-21
  • DOI:10.1186/s13662-019-2244-8
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Some similarity solutions of the time-fractional stationary transonic plane-parallel gas flows (STPPGF) and their generalized space-fractional nonlinear system are obtained by using scalar similarity transformations, including traveling-wave similarity solutions. Two approximated solution formulas of the obtained ordinary fractional differential equations for the generalized space-fractional nonlinear system are generated as well. Finally, a class of approximated solutions of the time-fractional nonlinear system of STPPGF with initial-boundary-value conditions are produced by applying the separated variable method.
  • 关键词:Similarity solution;Fractional derivative;Nonlinear equation
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