A note on singular two-dimensional fractional coupled Burgers’ equation and triple Laplace Adomian decomposition method

Abstract

Abstract The present article focuses on how to find the exact solutions of the time-fractional regular and singular coupled Burgers’ equations by applying a new method that is called triple Laplace and Adomian decomposition method. Furthermore, the proposed method is a strong tool for solving many problems. The accuracy of the method is considered through the use of some examples, and the results obtained are compared with those of the existing methods in the literature.

Keywords

• Double and triple Laplace transform
• Inverse double and triple Laplace transform
• Singular fractional coupled Burgers’ equation
• Mittag-Leffler function
• Single Laplace transform
• Decomposition methods