Newtonian mechanics on fractals subset of real-line

Khalili Golmankhaneh A., Fazlollahi V., Baleanu D.

Romanian Reports in Physics, vol.65, no.1, pp.84-93, 2013 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 65 Issue: 1
  • Publication Date: 2013
  • Journal Name: Romanian Reports in Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.84-93
  • Keywords: Calculus on fractal, Cantor set, Dynamics, Harmonic oscillator, Staircase function
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this paper, we have studied the calculus on the fractals, meanwhile Newtonian mechanics on fractals subset of real-line has been suggested. Further, work and energy theorem on fractals with the examples has been explained. Finally Langevin Fα-Equation on fractals is derived.