000022847 001__ 22847
000022847 005__ 20220110134530.0
000022847 04107 $$aeng
000022847 046__ $$k2018-05-14
000022847 100__ $$aPawlikowski, R.
000022847 24500 $$aA damped harmonic oscillator in the classical and fractional differential calculus with the Liouville derivative

000022847 24630 $$n24.$$pEngineering Mechanics 2018
000022847 260__ $$bInstitute of Theoretical and Applied Mechanics of the Cech Academy of Sciences, Prague
000022847 506__ $$arestricted
000022847 520__ $$2eng$$aThis paper considers a fractional differential equation with a Liouville fractional derivative for damped harmonic oscillator. The proposed analytical solution for the fractional equation is compared with the solution for the classical equation. The study involved determining the conditions of the agreement of the two solutions and proposing the physical interpretation of the fractional derivative.

000022847 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000022847 653__ $$adamped harmonic oscillator, fractional differential calculus, Liouville derivative

000022847 7112_ $$aEngineering Mechanics 2018$$cSvratka, CZ$$d2018-05-14 / 2018-05-17$$gEM2018
000022847 720__ $$aPawlikowski, R.$$iŁabędzki, P.
000022847 8560_ $$ffischerc@itam.cas.cz
000022847 8564_ $$s283654$$uhttps://invenio.itam.cas.cz/record/22847/files/657.pdf$$yOriginal version of the author's contribution in proceedings, page , section DYN.
000022847 962__ $$r21225
000022847 980__ $$aPAPER