Baleanu, DumitruDefterli, OzlemBaleanu, DumitruJajarmi, AminSajjadi, Samaneh SadatAlshaikh, NoorhanAsad, Jihad H.2024-03-272024-03-272022Defterli, Özlem;...et.al. (2022). "Fractional Treatment: An Accelerated Mass-Spring System", Romanian Reports in Physics, Vol.74, No.4.12211451https://hdl.handle.net/20.500.12416/7765The aim of this manuscript is to study the dynamics of the motion of an accelerated mass-spring system within fractional calculus. To investigate the described system, firstly, we construct the corresponding Lagrangian and derive the classical equations of motion using the Euler-Lagrange equations of integer-order. Furthermore, the generalized Lagrangian is introduced by using non-integer, so-called fractional, derivative operators; then the resulting fractional Euler-Lagrange equations are generated and solved numerically. The obtained results are presented illustratively by using numerical simulations.eninfo:eu-repo/semantics/closedAccessApproximation MethodFractional LagrangianLaplace TransformMass-Spring SystemArticle744