Abstract
•An analytical exact solution for the fractional differential equation of the oscillator in a resisting medium was obtained.•The natural transform method is used.•The fractional derivatives were described in the Caputo sense.•The proposed method is more efficient, intelligent and better accuracy.
In this paper, an analytical exact solution for the fractional differential equation of the oscillator in a resisting medium was obtained successfully via the natural transform method. The fractional derivatives were described in the Caputo sense. The results illustrated the power, efficiency, simplicity, and reliability of the proposed method.