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

#### 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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DOI: http://dx.doi.org/10.11121/ijocta.01.2019.00638

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