@Article{cmes.2020.010236,
AUTHOR = {Dumitru Baleanu, Behzad Ghanbari, Jihad H. Asad, Amin Jajarmi, Hassan Mohammadi Pirouz},
TITLE = {Planar System-Masses in an Equilateral Triangle: Numerical Study within Fractional Calculus},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {124},
YEAR = {2020},
NUMBER = {3},
PAGES = {953--968},
URL = {http://www.techscience.com/CMES/v124n3/39921},
ISSN = {1526-1506},
ABSTRACT = {In this work, a system of three masses on the vertices of equilateral triangle is investigated. This system is known in the literature as a planar system.
We first give a description to the system by constructing its classical Lagrangian.
Secondly, the classical Euler-Lagrange equations (i.e., the classical equations of
motion) are derived. Thirdly, we fractionalize the classical Lagrangian of the system, and as a result, we obtain the fractional Euler-Lagrange equations. As the
final step, we give the numerical simulations of the fractional model, a new model
which is based on Caputo fractional derivative.},
DOI = {10.32604/cmes.2020.010236}
}