An Efficient Approach for Time–Fractional Damped Burger and Time–Sharma–Tasso–Olver Equations Using the FRDTM

Authors

Mahmoud Saleh Rawashdeh, Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan.Follow

Author Country (or Countries)

Jordan.

Abstract

The objective of this paper is to use the fractional reduced differential transform method (FRDTM) to find approximate analytical solutions to the time-fractional Sharma–Tasso–Olver equation and the time-fractional damped Burger equation. The fractional derivatives are described in the Caputo sense. We compare our results with those from existing methods such as the homotopy analysis method (HAM), variation iteration method (VIM) and the Adomian decomposition method (ADM). Also, the results we obtained in this paper are in a good agreement with the exact solutions; hence, this technique is powerful and efficient as an alternative method for finding approximate and exact solutions for nonlinear fractional PDEs.

Recommended Citation

Saleh Rawashdeh, Mahmoud (2015) "An Efficient Approach for Time–Fractional Damped Burger and Time–Sharma–Tasso–Olver Equations Using the FRDTM," Applied Mathematics & Information Sciences: Vol. 09: Iss. 3, Article 17.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss3/17