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    Planar System-Masses in an Equilateral Triangle: Numerical Study within Fractional Calculus

    Dumitru Baleanu1,2, Behzad Ghanbari3, Jihad H. Asad4,*, Amin Jajarmi5, Hassan Mohammadi Pirouz5

    CMES-Computer Modeling in Engineering & Sciences, Vol.124, No.3, pp. 953-968, 2020, DOI:10.32604/cmes.2020.010236

    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. More >

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