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  • 标题:An efficient new perturbative Laplace method for space-time fractional telegraph equations
  • 本地全文:下载
  • 作者:Yasir Khan ; Josef Diblík ; Naeem Faraz
  • 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:204
  • DOI:10.1186/1687-1847-2012-204
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we propose a new technique for solving space-time fractional telegraph equations. This method is based on perturbation theory and the Laplace transformation. Fractional Taylor series and fractional initial conditions have been introduced. However, all the previous works avoid the term of fractional initial conditions in the space-time telegraph equations. The results of introducing fractional order initial conditions and the Laplace transform for the studied cases show the high accuracy, simplicity and efficiency of the approach.
  • 关键词:Fractional Order ; Fractional Derivative ; Fractional Differential Equation ; Fractional Brownian Motion ; Homotopy Analysis Method
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