The  Fractional Harmonic Oscillator: Analysis and Computation

dc.rights.license	CC-BY-NC-ND
dc.contributor.advisor	Zegeling, Paul
dc.contributor.author	Schouten, Kelvin
dc.date.accessioned	2025-08-12T14:00:59Z
dc.date.available	2025-08-12T14:00:59Z
dc.date.issued	2025
dc.identifier.uri	https://studenttheses.uu.nl/handle/20.500.12932/49689
dc.description.abstract	This thesis explores the fractional harmonic oscillator by extending classical models with fractional derivatives. Analytical and numerical methods, such as Laplace transforms and L1/L2 schemes, are used to study memory and damping effects. The results reveal non-local behavior in oscillations and suggest extensions to nonlinear systems like the Van der Pol and Lotka–Volterra models.
dc.description.sponsorship	Utrecht University
dc.language.iso	EN
dc.subject	Dit verslag onderzoekt de fractional harmonic oscillator door klassieke modellen uit te breiden met fractionele afgeleiden. Analytische en numerieke methoden worden toegepast, waaronder Laplace-transformatie en L1/L2-schema’s. De studie onthult geheugen- en dempingseffecten in oscillaties en suggereert uitbreidingen naar systemen zoals Van der Pol en Lotka–Volterra.
dc.title	The Fractional Harmonic Oscillator: Analysis and Computation
dc.type.content	Bachelor Thesis
dc.rights.accessrights	Open Access
dc.subject.keywords	Fractional calculus Caputo derivative Mittag-Leffler function Harmonic oscillator Memory effects
dc.subject.courseuu	Wiskunde
dc.thesis.id	51428