A new fractional analysis on the polluted lakes system

BİLDİK N., DENİZ S.

Chaos, Solitons and Fractals, cilt.122, ss.17-24, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Derleme
  • Cilt numarası: 122
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.chaos.2019.02.001
  • Dergi Adı: Chaos, Solitons and Fractals
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.17-24
  • Anahtar Kelimeler: Atangana–Baleanu derivative, Systems of fractional differential equations, Water pollution
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, we use Atangana–Baleanu derivative which is defined with the Mittag–Leffler function and has all the properties of a classical fractional derivative for solving the system of fractional differential equations. The classical model of polluted lakes system is modified by using the concept of fractional differentiation with nonsingular and nonlocal fading memory. The new numerical scheme recommended by Toufik and Atangana is used to analyze the modified model of polluted lakes system. Some numerical illustrations are presented to show the effect of the new fractional differentiation.