On the explicit solutions of fractional Bagley-Torvik equation arises in engineering
In this work, Bagley-Torvik equation is considered with conformable derivatives. The analytical solutions will be obtained via Sine-Gordon expansion method and Bernouli equation method for the two cases of Bagley-Torvik equation. We will illustrate and discuss about the methodology and solutions the...
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Balikesir University
2019-05-01
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doaj-7496c933952e4eccab0df8aa5d86b7b92021-03-09T02:14:23ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications 2146-09572146-57032019-05-019310.11121/ijocta.01.2019.00638On the explicit solutions of fractional Bagley-Torvik equation arises in engineeringZehra Pinar0Tekirdağ Namık Kemal UniversityIn this work, Bagley-Torvik equation is considered with conformable derivatives. The analytical solutions will be obtained via Sine-Gordon expansion method and Bernouli equation method for the two cases of Bagley-Torvik equation. We will illustrate and discuss about the methodology and solutions therefore the proposed equation has meaning in different areas of science and engineering. http://www.ijocta.org/index.php/files/article/view/638Bagley-Torvik EquationExplicit solutionsConformable derivative |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Zehra Pinar |
spellingShingle |
Zehra Pinar On the explicit solutions of fractional Bagley-Torvik equation arises in engineering An International Journal of Optimization and Control: Theories & Applications Bagley-Torvik Equation Explicit solutions Conformable derivative |
author_facet |
Zehra Pinar |
author_sort |
Zehra Pinar |
title |
On the explicit solutions of fractional Bagley-Torvik equation arises in engineering |
title_short |
On the explicit solutions of fractional Bagley-Torvik equation arises in engineering |
title_full |
On the explicit solutions of fractional Bagley-Torvik equation arises in engineering |
title_fullStr |
On the explicit solutions of fractional Bagley-Torvik equation arises in engineering |
title_full_unstemmed |
On the explicit solutions of fractional Bagley-Torvik equation arises in engineering |
title_sort |
on the explicit solutions of fractional bagley-torvik equation arises in engineering |
publisher |
Balikesir University |
series |
An International Journal of Optimization and Control: Theories & Applications |
issn |
2146-0957 2146-5703 |
publishDate |
2019-05-01 |
description |
In this work, Bagley-Torvik equation is considered with conformable derivatives. The analytical solutions will be obtained via Sine-Gordon expansion method and Bernouli equation method for the two cases of Bagley-Torvik equation. We will illustrate and discuss about the methodology and solutions therefore the proposed equation has meaning in different areas of science and engineering.
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topic |
Bagley-Torvik Equation Explicit solutions Conformable derivative |
url |
http://www.ijocta.org/index.php/files/article/view/638 |
work_keys_str_mv |
AT zehrapinar ontheexplicitsolutionsoffractionalbagleytorvikequationarisesinengineering |
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1724228238040891392 |