@article{Liu2023, 
author = {Jian-Gen Liu and Jian Zhang},
title = {A new approximate method to the time fractional damped Burger equation},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {6},
pages = {13317-13324},
keywords = {time fractional damped Burger equation, approximate-analytical method, approximate solution, Caputo fractional derivative, nonlinear phenomena},
url = {https://www.sciopen.com/article/10.3934/math.2023674},
doi = {10.3934/math.2023674},
abstract = {In this article, we study a Caputo fractional model, namely, the time fractional damped Burger equation. As the main mathematical tool of this article, we apply a new approximate method which is called the approximate-analytical method (AAM) to deal with the time fractional damped Burger equation. Then, a new approximate solution of this considered equation was obtained. It may be used to characterize nonlinear phenomena of the shallow water wave phenomena. Thereby, it provides a new window for us to find the time fractional damped Burger equation new evolutionary mechanism.}
}