Baleanu, DumitruGhanbari, BehzadAsad, Jihad H.Jajarmi, AminPirouz, Hassan Mohammadi2021-02-082021-02-082020Baleanu, Dumitru...et al. (2020). "Planar System-Masses in an Equilateral Triangle: Numerical Study within Fractional Calculus", CMES-Computer Modeling in Engineering & Sciences, Vol. 124, No. 3, pp. 953-968.1526-14921526-1506http://hdl.handle.net/20.500.12416/4551In 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.eninfo:eu-repo/semantics/openAccessPlanar SystemMasses in Equilateral TriangleSpringsEuler-Lagrange EquationsFractional DerivativeArticle124395396810.32604/cmes.2020.010236