Fractional telegraph equation and its solution by natural transform decomposition method

Hassan Eltayeb, Yahya T. Abdalla, Imed Bachar, Mohamed H. Khabir

Research output: Contribution to journalJournal articlepeer-review

22 Scopus citations

Abstract

In this work, the natural transform decomposition method (NTDM) is applied to solve the linear and nonlinear fractional telegraph equations. This method is a combined form of the natural transform and the Adomian decomposition methods. In addition, we prove the convergence of our method. Finally, three examples have been employed to illustrate the preciseness and effectiveness of the proposed method.

Original languageEnglish
Article number334
JournalSymmetry
Volume11
Issue number3
DOIs
StatePublished - 1 Mar 2019
Externally publishedYes

Keywords

  • Adomian decomposition method
  • Caputo fractional derivative
  • Generalized mittag-leffler function
  • Natural transform

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