Title
An approximate analytical solution of time-fractional telegraph equation
Abstract
In this article, the powerful, easy-to-use and effective approximate analytical mathematical tool like homotopy analysis method (HAM) is used to solve the telegraph equation with fractional time derivative α (1<α⩽2). By using initial values, the explicit solutions of telegraph equation for different particular cases have been derived. The numerical solutions show that only a few iterations are needed to obtain accurate approximate solutions. The method performs extremely well in terms of efficiency and simplicity to solve this historical model.
Year
DOI
Venue
2011
10.1016/j.amc.2011.02.030
Applied Mathematics and Computation
Keywords
Field
DocType
Telegraph equation,Fractional time derivative,Fractional Brownian motion,Homotopy analysis method
Mathematical optimization,Telegrapher's equations,Mathematical analysis,Time derivative,Homotopy analysis method,Fractional Brownian motion,Mathematics
Journal
Volume
Issue
ISSN
217
18
0096-3003
Citations 
PageRank 
References 
6
0.51
6
Authors
4
Name
Order
Citations
PageRank
S. Das1272.63
K. Vishal281.24
P.K. Gupta360.51
A. Yildirim4334.95