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[80050] Artykuł: A damped harmonic oscillator in the classical and fractional differential calculus with the Liouville derivativeCzasopismo: Engineering Mechanics 2018 (Conference Proceedings) Tom: 24, Strony: 657-660ISSN: 1805-8248 ISBN: 978-80-86246-91-8 Wydawca: ACAD SCI CZECH REPUBLIC, INST THEORETICAL & APPLIED MECHANICS, PROSECKA 76, PRAGUE 9, 190 00, CZECH REPUBLIC Opublikowano: 2018 Seria wydawnicza: Engineering Mechanics Liczba arkuszy wydawniczych: 1.00 Autorzy / Redaktorzy / Twórcy Grupa MNiSW: Materiały z konferencji międzynarodowej (zarejestrowane w Web of Science) Punkty MNiSW: 15 Klasyfikacja Web of Science: Proceedings Paper ![]() ![]() ![]() Keywords: damped harmonic oscillator  fractional differential calculus  Liouville derivative   |
This 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.