Optimal perturbation iteration method for solving fractional FitzHugh-Nagumo equation

Deniz S.

Chaos, Solitons and Fractals, cilt.142, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 142
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.chaos.2020.110417
  • Dergi Adı: Chaos, Solitons and Fractals
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, zbMATH
  • Anahtar Kelimeler: Optimal perturbation iteration method, Fractional Fitzhugh-Nagumo equation, Atangana-Baleanu derivative
  • Manisa Celal Bayar Üniversitesi Adresli: Hayır

Özet

In this study, a modified fractional form of FitzHugh-Nagumo equation is investigated via a newly developed semi-analytical method. The classical equation has been modified with a new fractional operator and the optimal perturbation iteration algorithms have been adapted accordingly for solving the fractional model. An illustration has been deeply analyzed for different values of physical parameters. Figures and tables are given to show the errors of different order approximations. Obtained results prove the accuracy and effectiveness of the proposed technique.