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Information × Registration Number 2121U006079, Article popup.category Стаття Title popup.author popup.publication 01-01-2021 popup.source_user Сумський державний університет popup.source https://essuir.sumdu.edu.ua/handle/123456789/85368 popup.publisher MDPI Description In this article, the fractional-order differential equation of particle sedimentation was obtained. It considers the Basset force’s fractional origin and contains the Riemann–Liouville fractional integral rewritten as a Grunwald–Letnikov derivative. As a result, the general solution of the proposed fractional-order differential equation was found analytically. The belonging of this solution to the real range of values was strictly theoretically proven. The obtained solution was validated on a particular analytical case study. In addition, it was proven numerically with the approach based on the S-approximation method using the block-pulse operational matrix. The proposed mathematical model can be applied for modeling the processes of fine particles sedimentation in liquids, aerosol deposition in gas flows, and particle deposition in gas-dispersed systems. popup.nrat_date 2025-05-12 Close