A mathematical theoretical study of Atangana-Baleanu fractional Burgers’ equations

Abstract

In this paper, the Burgers’ equations using the fractional derivative of Atangana-Baleanu sense are investigated and discussed. A Laplace variational iteration approach is used to demonstrate the fractional model's mathematical solution. The solution's existence and uniqueness are examined using fixed point theory. Several numerical simulations that enhance the efficacy of the employed derivative are presented and discussed.

Keywords

• Fixed point theory
• Laplace variation iteration method
• The Atangana-Baleanu Fractional derivative