Published January 1, 2022
| Version v1
Journal article
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FRACTIONAL TREATMENT: AN ACCELERATED MASS-SPRING SYSTEM
Creators
- 1. Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkey
- 2. Univ Bojnord, Dept Elect Engn, POB 945311339, Bojnord, Iran
- 3. RMIT Univ, Sch Engn, Melbourne, Vic, Australia
- 4. Palestine Tech Univ, Dept Phys, Coll Arts & Sci, POB 7, Tulkarm, Palestine
Description
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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