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This article analysis differential equations which represents damped andfractional oscillators. First, it is shown that prior to using physicalquantities in fractional calculus, it is imperative that they are turneddimensionless. Afterwards, approximated expressions that relate the twoequations parameters for the case that the fractional order is close to aninteger number are presented. Following, a numerical regression is made usingpower series expansion, and, also from fractional calculus, the fact that bothequations cannot be equivalent is concluded. In the end, from the numericalregression data, the analytical approximated expressions that relate the twoequations' parameters are refined.

Fractional derivative order determination from harmonic oscillator damping factor