About Kepler's Third Law on fractal-time spaces
Ain Shams Engineering Journal, cilt.9, sa.4, ss.2499-2502, 2018 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9 Sayı: 4
- Basım Tarihi: 2018
- Doi Numarası: 10.1016/j.asej.2017.06.005
- Dergi Adı: Ain Shams Engineering Journal
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.2499-2502
- Anahtar Kelimeler: Fractal calculus, Fractal triadic Cantor set, Fractal-time spaces, Kepler's Third Law, Local derivative on fractals
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
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.