Browsing by Author "Gasimov, Yusif S."
Now showing 1 - 1 of 1
- Results Per Page
- Sort Options
Article Classical Mechanics on Fractal Curves(Springer Heidelberg, 2023) Golmankhaneh, Alireza Khalili; Welch, Kerri; Tunc, Cemil; Gasimov, Yusif S.Fractal analogue of Newton, Lagrange, Hamilton, and Appell's mechanics are suggested. The fractal alpha-velocity and alpha-acceleration are defined in order to obtain the Langevin equation on fractal curves. Using the Legendre transformation, Hamilton's mechanics on fractal curves is derived for modeling a non-conservative system on fractal curves with fractional dimensions. Fractal differential equations have solutions that are non-differentiable in the sense of ordinary derivatives and explain space and time with fractional dimensions. The illustrated examples with graphs present the details.
