Fractional Treatment: An Accelerated Mass-Spring System
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Date
2022
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Editura Acad Romane
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Abstract
The 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.
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Keywords
Mass-Spring System, Laplace Transform, Fractional Lagrangian, Approximation Method
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Citation
Defterli, Özlem;...et.al. (2022). "Fractional Treatment: An Accelerated Mass-Spring System", Romanian Reports in Physics, Vol.74, No.4.
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Q2
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Q2
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Volume
74
Issue
4