On the explicit solutions of fractional Bagley-Torvik equation arises in engineering

Authors

DOI:

https://doi.org/10.11121/ijocta.01.2019.00638

Keywords:

Bagley-Torvik Equation, Explicit solutions, Conformable derivative

Abstract

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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Author Biography

Zehra Pinar, Tekirdağ Namık Kemal University

Department of Mathematics

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Published

2019-05-02
CITATION
DOI: 10.11121/ijocta.01.2019.00638
Published: 2019-05-02

How to Cite

Pinar, Z. (2019). On the explicit solutions of fractional Bagley-Torvik equation arises in engineering. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), 9(3), 52–58. https://doi.org/10.11121/ijocta.01.2019.00638

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Research Articles