Open AccessOn the explicit solutions of fractional Bagley-Torvik equation arises in engineering
Author(s) -
Zehra Pınar
Publication year - 2019
Publication title -
an international journal of optimization and control: theories and applications/e-an international journal of optimization and control: theories and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 6
eISSN - 2146-5703
pISSN - 2146-0957
DOI - 10.11121/ijocta.01.2019.00638
Subject(s) - conformable matrix , work (physics) , mathematics , computer science , calculus (dental) , mathematical analysis , engineering , physics , mechanical engineering , medicine , dentistry , quantum mechanics
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.