Optimal perturbation iteration method for solving fractional model of damped burgers' equation

Deniz S., Konuralp A., la Sen M. D.

Symmetry, cilt.12, sa.6, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3390/sym12060958
  • Dergi Adı: Symmetry
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: damped Burgers' equation, Atangana-Baleanu derivative, optimal perturbation iteration method
  • Manisa Celal Bayar Üniversitesi Adresli: Hayır

Özet

The newly constructed optimal perturbation iteration procedure with Laplace transform is applied to obtain the new approximate semi-analytical solutions of the fractional type of damped Burgers' equation. The classical damped Burgers' equation is remodeled to fractional differential form via the Atangana-Baleanu fractional derivatives described with the help of the Mittag-Leffler function. To display the efficiency of the proposed optimal perturbation iteration technique, an extended example is deeply analyzed.