Fractal logistic equation

Khalili Golmankhaneh A., Cattani C.

Fractal and Fractional, cilt.3, sa.3, ss.1-12, 2019 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 3 Sayı: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3390/fractalfract3030041
  • Dergi Adı: Fractal and Fractional
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1-12
  • Anahtar Kelimeler: Fractal calculus, Fractal difference equations, Fractal logistic equation, Fractal logistic function
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, we give difference equations on fractal sets and their corresponding fractal differential equations. An analogue of the classical Euler method in fractal calculus is defined. This fractal Euler method presets a numerical method for solving fractal differential equations and finding approximate analytical solutions. Fractal differential equations are solved by using the fractal Euler method. Furthermore, fractal logistic equations and functions are given, which are useful in modeling growth of elements in sciences including biology and economics.