Deriving friction force using fractional calculus

Georgii Koniukov

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arXiv · 2407.13888

Deriving friction force using fractional calculus

Georgii Koniukov

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Abstract

The friction force is derived using fractional calculus by considering the non-uniform flow of time in dissipative processes. The approach incorporates inhomogeneous velocity without unphysical approximations, resulting in a Lagrangian where the order of fractional derivatives measures time intervals. The fractional term in the Lagrangian provides correct Euler-Lagrange, and ultimately, the Hamilton equations, and vanishes during energy change measurements, like a ghost.

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Georgii Koniukov. 2024-07-18. Deriving friction force using fractional calculus. https://arxiv.org/abs/2407.13888

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