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

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

Symmetry, vol.12, no.6, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 6
  • Publication Date: 2020
  • Doi Number: 10.3390/sym12060958
  • Journal Name: Symmetry
  • Journal Indexes: 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
  • Keywords: damped Burgers' equation, Atangana-Baleanu derivative, optimal perturbation iteration method
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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.