A reliable method for the space-time fractional Burgers and time-fractional Cahn-Allen equations via the FRDTM
Abstract We propose a new method called the fractional reduced differential transform method (FRDTM) to solve nonlinear fractional partial differential equations such as the space-time fractional Burgers equations and the time-fractional Cahn-Allen equation. The solutions are given in the form of se...
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Online Access: | http://link.springer.com/article/10.1186/s13662-017-1148-8 |
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doaj-e5a1cecce14341b4944a1cd32dbf9b4d2020-11-24T21:48:17ZengSpringerOpenAdvances in Difference Equations1687-18472017-03-012017111410.1186/s13662-017-1148-8A reliable method for the space-time fractional Burgers and time-fractional Cahn-Allen equations via the FRDTMMahmoud S Rawashdeh0Department of Mathematics and Statistics, Jordan University of Science and TechnologyAbstract We propose a new method called the fractional reduced differential transform method (FRDTM) to solve nonlinear fractional partial differential equations such as the space-time fractional Burgers equations and the time-fractional Cahn-Allen equation. The solutions are given in the form of series with easily computable terms. Numerical solutions are calculated for the fractional Burgers and Cahn-Allen equations to show the nature of solutions as the fractional derivative parameter is changed. The results prove that the proposed method is very effective and simple for obtaining approximate solutions of nonlinear fractional partial differential equations.http://link.springer.com/article/10.1186/s13662-017-1148-8fractional reduced differential transform methodCaputo fractional derivativeBurgers equationsCahn-Allen equation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Mahmoud S Rawashdeh |
spellingShingle |
Mahmoud S Rawashdeh A reliable method for the space-time fractional Burgers and time-fractional Cahn-Allen equations via the FRDTM Advances in Difference Equations fractional reduced differential transform method Caputo fractional derivative Burgers equations Cahn-Allen equation |
author_facet |
Mahmoud S Rawashdeh |
author_sort |
Mahmoud S Rawashdeh |
title |
A reliable method for the space-time fractional Burgers and time-fractional Cahn-Allen equations via the FRDTM |
title_short |
A reliable method for the space-time fractional Burgers and time-fractional Cahn-Allen equations via the FRDTM |
title_full |
A reliable method for the space-time fractional Burgers and time-fractional Cahn-Allen equations via the FRDTM |
title_fullStr |
A reliable method for the space-time fractional Burgers and time-fractional Cahn-Allen equations via the FRDTM |
title_full_unstemmed |
A reliable method for the space-time fractional Burgers and time-fractional Cahn-Allen equations via the FRDTM |
title_sort |
reliable method for the space-time fractional burgers and time-fractional cahn-allen equations via the frdtm |
publisher |
SpringerOpen |
series |
Advances in Difference Equations |
issn |
1687-1847 |
publishDate |
2017-03-01 |
description |
Abstract We propose a new method called the fractional reduced differential transform method (FRDTM) to solve nonlinear fractional partial differential equations such as the space-time fractional Burgers equations and the time-fractional Cahn-Allen equation. The solutions are given in the form of series with easily computable terms. Numerical solutions are calculated for the fractional Burgers and Cahn-Allen equations to show the nature of solutions as the fractional derivative parameter is changed. The results prove that the proposed method is very effective and simple for obtaining approximate solutions of nonlinear fractional partial differential equations. |
topic |
fractional reduced differential transform method Caputo fractional derivative Burgers equations Cahn-Allen equation |
url |
http://link.springer.com/article/10.1186/s13662-017-1148-8 |
work_keys_str_mv |
AT mahmoudsrawashdeh areliablemethodforthespacetimefractionalburgersandtimefractionalcahnallenequationsviathefrdtm AT mahmoudsrawashdeh reliablemethodforthespacetimefractionalburgersandtimefractionalcahnallenequationsviathefrdtm |
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