A comparative study on solving fractional cubic isothermal auto-catalytic chemical system via new efficient technique

BİLDİK N., DENİZ S., SAAD K. M.

Chaos, Solitons and Fractals, vol.132, 2020 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 132
  • Publication Date: 2020
  • Doi Number: 10.1016/j.chaos.2019.109555
  • Journal Name: Chaos, Solitons and Fractals
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Compendex, INSPEC, zbMATH
  • Keywords: Atangana–Baleanu, Caputo, Caputo–Fabrizio, Fractional cubic isothermal auto-catalytic chemical reaction, Optimal perturbation iteration method
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, we examine a cubic isothermal auto-catalytic chemical system (CIACS) with the help of the newly developed technique. Classical model of this system is transformed into a new fractional forms by using three different and special fractional operators. The new model is therefore called as fractional cubic isothermal auto-catalytic chemical system (FCIACS). Then, the new systems are solved by optimal perturbation iteration method. Obtained results are compared to get an idea about the new derivative operators and optimal perturbation iteration method.