Order reprints

Solution of fractional telegraph equation with Riesz space-fractional derivative

S. Mohammadian Y. Mahmoudi F. D. Saei

*Corresponding author: Y. Mahmoudi mahmoudi@iaut.ac.ir

Math2019,6,1664doi:10.3934/math.2019.6.1664

In this study, the so-called generalized differential transform method (GDTM) is developed to derive a semi- analytical solution for fractional partial differential equations which involves Riesz space fractional derivative. We focus primarily on implementing the novel algorithm to fractional telegraph equation with Riesz space-fractional derivative. Some theorems are presented to obtain new algorithm, as well as the error bound is found. This method is dealing with separating the main equation into sub-equations and applying transformation for sub-equations to attain compatible recurrence relations. This process will allow to obtain semi-analytical solution using inverse transformation. To illustrate the reliability and capability of the method, some examples are provided. The results reveal that the algorithm is very effective and uncomplicated.

Please supply your name and a valid email address you yourself

Fields marked*are required

Article URL   http://www.aimspress.com/Math/article/4287.html
Article ID   math-04-06-1664
Editorial Email  
Your Name *
Your Email *
Quantity *

Copyright © AIMS Press All Rights Reserved