An analytical solution for fractional oscillator in a resisting medium

G.M. Ismail, H.R. Abdl-Rahim, A. Abdel-Aty, R. Kharabsheh, W. Alharbi and M. Abdel-Aty

Chaos, Solitons & Fractals, 2020, vol. 130, issue C

Abstract: 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.

Keywords: Natural transform; Fractional oscillator in a resisting medium; Analytical exact solution; Fractional calculus (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303303

DOI: 10.1016/j.chaos.2019.109395

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