On the calculus of parameterized fractal curves

Khalili Golmankhaneh A.

Turkish Journal of Physics, cilt.41, sa.5, ss.418-425, 2017 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 5
  • Basım Tarihi: 2017
  • Doi Numarası: 10.3906/fiz-1704-7
  • Dergi Adı: Turkish Journal of Physics
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.418-425
  • Anahtar Kelimeler: Fractal Cesaro curve 1, Fractal Koch curve, Fα -calculus, Staircase function
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.