Baleanu, DumitruBaleanu, DumitruJajarmi, AminSajjadi, Samaneh SadatAsad, Jihad H.Matematik2021-01-282021-01-282020Baleanu, Dumitru...et al. (2020). "The fractional features of a harmonic oscillator with position-dependent mass", Communications in Theoretical Physics, Vol. 72, No. 5.0253-61021572-9494https://doi.org/10.1088/1572-9494/ab7700Jajarmi, Amin/0000-0003-2768-840X; Sajjadi, Samaneh Sadat/0000-0001-7215-885X; Asad, Jihad/0000-0002-6862-1634In this study, a harmonic oscillator with position-dependent mass is investigated. Firstly, as an introduction, we give a full description of the system by constructing its classical Lagrangian; thereupon, we derive the related classical equations of motion such as the classical Euler-Lagrange equations. Secondly, we fractionalize the classical Lagrangian of the system, and then we obtain the corresponding fractional Euler-Lagrange equations (FELEs). As a final step, we give the numerical simulations corresponding to the FELEs within different fractional operators. Numerical results based on the Caputo and the Atangana-Baleanu-Caputo (ABC) fractional derivatives are given to verify the theoretical analysis.eninfo:eu-repo/semantics/closedAccessPosition-Dependent MassHarmonic OscillatorEuler-Lagrange EquationsFractional DerivativeArticle72510.1088/1572-9494/ab77002-s2.0-85084537590WOS:000523450100001Q2Q1