A new treatment based on hybrid functions to the solution of telegraph equations of fractional order

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• 作者：N. Mollahasani ; ^a ; ^{n.mollahasani@math.uk.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; ^{nasibeh_1288@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; M. Mohseni (Mohseni) Moghadam^a ; K. Afrooz^b
• 关键词：Fractional telegraph equation ; Hybrid functions ; Fractional calculus ; Operational matrices
• 刊名：Applied Mathematical Modelling
• 出版年：2016
• 出版时间：15 February 2016
• 年：2016
• 卷：40
• 期：4
• 页码：2804-2814
• 全文大小：1928 K

文摘

In this paper, a new operational method based on hybrid functions of Legendre polynomials and Block-Pulse-Functions will be presented. The operational matrix of fractional integration is derived and used to take an acceptable approximate for the solution of a telegraph equation of fractional order. An error estimation will be presented to give an image of the goodness of the solution. Some numerical examples demonstrate the efficiency of the proposed method.