On the calculus of parameterized fractal curves

Khalili Golmankhaneh A.

Turkish Journal of Physics, vol.41, no.5, pp.418-425, 2017 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 5
  • Publication Date: 2017
  • Doi Number: 10.3906/fiz-1704-7
  • Journal Name: Turkish Journal of Physics
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.418-425
  • Keywords: Fractal Cesaro curve 1, Fractal Koch curve, Fα -calculus, Staircase function
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

In this paper, we apply Fα -calculus on the fractal Koch and Cesaro curves with different dimensions. A generalized Newton's second law on the fractal Koch and Cesaro curves is given. Density of the moving particles absorbed on fractal Cesaro are derived. Illustrative examples are given to present the details of Fα -integrals and Fα -derivatives.