Baleanu, DumitruJajarmi, AminSajjadi, Samaneh SadatAsad, Jihad H.2021-01-282021-01-282020Baleanu, Dumitru...et al. (2020). "The fractional features of a harmonic oscillator with position-dependent mass", Communications in Theoretical Physics, Vol. 72, No. 5.0253-61021572-9494http://hdl.handle.net/20.500.12416/4481In 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/ab7700