An efficient new perturbative Laplace method for space-time fractional telegraph equations

Advances in Difference Equations

Josef Diblk¹  Zdenk marda¹  Yasir Khan²  Naeem Faraz³ 

[1] Department of Mathematics, Brno University of Technology, Brno, Czech Republic;Department of Mathematics, Zhejiang University, Hangzhou, China;Modern Textile Institute, Donghua University, Shanghai, China

关键词: Fractional Order;    Fractional Derivative;    Fractional Differential Equation;    Fractional Brownian Motion;    Homotopy Analysis Method;   

DOI  :  10.1186/1687-1847-2012-204

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY