Physical motion can be modeled using fractional derivatives representing damping forces.

the verdict

SUPPORTED

the evidence backs this

Recorded sources

3 sources for · 0 against

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Fractional derivatives are widely used in mathematical modeling to represent complex damping forces and viscoelastic behaviors in physical systems.

The analysis

The retrieved papers provide robust theoretical and experimental evidence showing that fractional calculus and fractional-order derivatives are successfully employed to model damping forces, viscoelasticity, and dissipative mechanical systems.

Evidence for · 3

Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics

Recorded source metadata

F. Mainardi. Fractional Calculus: Some Basic Problems in Continuum and Statistical Mechanics. 2012

This review highlights how fractional calculus is used in continuum mechanics to model viscoelastic bodies and unsteady particle motion in viscous fluids, effectively generalizing classical spring-dashpot damping models.

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More for · 2

Experimental Identification of a Fractional Derivative Linear Model for Viscoelastic Materials

Recorded source metadata

G. Catania, S. Sorrentino. Experimental Identification of a Fractional Derivative Linear Model for Viscoelastic Materials. 2005. https://doi.org/10.1115/DETC2005-85725

This study demonstrates that non-integer, fractional-order derivative rheological models provide physically consistent and effective descriptions of linear viscoelastic dynamic behavior and damping in mechanical structures.

Source citation format

Fractional Order Kelvin-Voigt Constitutive Model and Dynamic Damping Characteristics of Viscoelastic Materials

Recorded source metadata

Yuan Qin, Bokai Wang, Yuhui Wang, Yao Wang, Yong Song, Xin Shi. Fractional Order Kelvin-Voigt Constitutive Model and Dynamic Damping Characteristics of Viscoelastic Materials. 2024. https://doi.org/10.20855/ijav.2024.29.42078

This paper constructs a fractional order Kelvin-Voigt constitutive model to precisely characterize the dynamic damping properties and complex viscoelastic behavior of materials.

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first checked01 Aug 2026

judged → SUPPORTED · 9401 Aug 2026

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