A new approximate method to the time fractional damped Burger equation
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. T...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-04-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023674?viewType=HTML |
| _version_ | 1797844055391993856 |
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| author | Jian-Gen Liu Jian Zhang |
| author_facet | Jian-Gen Liu Jian Zhang |
| author_sort | Jian-Gen Liu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-09T17:16:16Z |
| format | Article |
| id | doaj.art-83e5e85fd4b846099d50f6c890284955 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-09T17:16:16Z |
| publishDate | 2023-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-83e5e85fd4b846099d50f6c8902849552023-04-20T01:08:22ZengAIMS PressAIMS Mathematics2473-69882023-04-0186133171332410.3934/math.2023674A new approximate method to the time fractional damped Burger equationJian-Gen Liu 0Jian Zhang 11. School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, Jiangsu, China2. School of Computer Science and Technology, China University of Mining and Technology, Xuzhou 221116, Jiangsu, ChinaIn 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.https://www.aimspress.com/article/doi/10.3934/math.2023674?viewType=HTMLtime fractional damped burger equationapproximate-analytical methodapproximate solutioncaputo fractional derivativenonlinear phenomena |
| spellingShingle | Jian-Gen Liu Jian Zhang A new approximate method to the time fractional damped Burger equation AIMS Mathematics time fractional damped burger equation approximate-analytical method approximate solution caputo fractional derivative nonlinear phenomena |
| title | A new approximate method to the time fractional damped Burger equation |
| title_full | A new approximate method to the time fractional damped Burger equation |
| title_fullStr | A new approximate method to the time fractional damped Burger equation |
| title_full_unstemmed | A new approximate method to the time fractional damped Burger equation |
| title_short | A new approximate method to the time fractional damped Burger equation |
| title_sort | new approximate method to the time fractional damped burger equation |
| topic | time fractional damped burger equation approximate-analytical method approximate solution caputo fractional derivative nonlinear phenomena |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023674?viewType=HTML |
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