About Kepler’s Third Law on fractal-time spaces
In this paper, a mathematical model for fractal-time space is given involving Fα-calculus. Differential equations corresponding of the free fall motion and simple harmonic oscillator on fractal-time space are given and solved. Moreover, using scale transformation and invariant properties of physical...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-12-01
|
| Series: | Ain Shams Engineering Journal |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447917300898 |
| Summary: | In this paper, a mathematical model for fractal-time space is given involving Fα-calculus. Differential equations corresponding of the free fall motion and simple harmonic oscillator on fractal-time space are given and solved. Moreover, using scale transformation and invariant properties of physical laws we obtained the generalized Kepler’s Third Law of motion on fractal-time space. Keywords: Fractal calculus, Fractal triadic Cantor set, Fractal-time spaces, Kepler’s Third Law, Local derivative on fractals |
|---|---|
| ISSN: | 2090-4479 |