Applied Mathematics in Science and Engineering · 2023 · 12 citations · 42 references
Numerical AnalysisUnsteady FlowVelocity ComponentsEngineeringFluid MechanicsHydrodynamicsNumerical SimulationAtangana–baleanu DerivativeMulti-layered Navier–stokes SystemFlow PhysicNavier-stokes EquationsMulti-layered Navier–stokes ConditionMultiscale HydrodynamicsHydrodynamic StabilityNumerical Method For Partial Differential Equation
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.
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Xiao‐Jun Yang, Mahmoud Abdel‐Aty, Carlo Cattani · Thermal Science · 2019 · 155 citations · Full text
General Fractional-order Derivataive, Liouville-caputo Type, Fractional-order System +9