Computational analysis of multi-layered Navier–Stokes system by Atangana–Baleanu derivative

Abstract

In our present paper, we have employed the Atangana–Baleanu derivative in the multi-layered Navier–Stokes condition to analyse the nature of the flow. Actually, the stream, the impacts and modifications caused by the operator and the mathematical technique approach are the main subjects of our attention. In this exploratory work, the Laplace transform strategy and the Atangana–Baleanu fractional operator were combined. Due to the Atangana–Baleanu operator's convergence in many engineering and technological issues, it is employed. We have also carefully evaluated the presence and uniqueness of the outcome. To visualize the variations in the flow, we have presented the graphs of the stream's velocity components in each direction during the study.

Keywords

• Navier–Stokes equation
• Atangana–Baleanu derivative
• Laplace transform
• existence and oneness
• Primary 92B05
• 92C60