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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Main Author: Zehra Pinar
Format: Article
Language:English
Published: Balikesir University 2019-05-01
Series:An International Journal of Optimization and Control: Theories & Applications
Subjects:
Online Access:http://www.ijocta.org/index.php/files/article/view/638
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spelling 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.
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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