About Kepler's Third Law on fractal-time spaces

Khalili Golmankhaneh A.

Ain Shams Engineering Journal, cilt.9, sa.4, ss.2499-2502, 2018 (SCI-Expanded) identifier

  • 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.