On conformable double Laplace transform and one dimensional fractional coupled Burgers' equation

Creative Commons License

Eltayeb H., Bachar I., Kiliçman A.

Symmetry, vol.11, no.3, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 11 Issue: 3
  • Publication Date: 2019
  • Doi Number: 10.3390/sym11030417
  • Journal Name: Symmetry
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Conformable double Laplace decomposition method, Conformable fractional derivative, Conformable Laplace transform, Conformable partial fractional derivative, Singular one dimensional coupled Burgers' equation
  • Istanbul Gelisim University Affiliated: No

Abstract

© 2019 by the authors.In the present work we introduced a new method and name it the conformable double Laplace decomposition method to solve one dimensional regular and singular conformable functional Burger's equation. We studied the existence condition for the conformable double Laplace transform. In order to obtain the exact solution for nonlinear fractional problems, then we modified the double Laplace transform and combined it with the Adomian decomposition method. Later, we applied the new method to solve regular and singular conformable fractional coupled Burgers' equations. Further, in order to illustrate the effectiveness of present method, we provide some examples.