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math.GM2025
The Fractal Lie Derivative: Theory and Applications
Alireza Khalili Golmankhaneh, Elham Hashemzadeh, Carlo Cattani +2
This paper presents a new Lie theoretic approach to fractal calculus, which in turn yields such new results as a Fractal Noether's Theorem, a setting for fractal differential forms…
math.GM2024★ 1 cited
Fractal Calculus to Derive Fractal Frenet Equations for Fractal Curves
Alireza Khalili Golmankhaneh, Palle E. T. Jørgensen, Dimiter Prodanov
This paper introduces the concept of Fractal Frenet equations, a set of differential equations used to describe the behavior of vectors along fractal curves. The study explores the…