Second-grade fluid with Newtonian heating under Caputo fractional derivative: analytical investigations via Laplace transforms

In this paper, we consider the constructive equations of fractional second-grade fluid. The considered fluid model is described by Caputo derivative. problem consists to determine exact analytical solution using Laplace transform method. influence order used operator has been presented in paper. We also analyze Prandtl number dynamics temperature distribution according variation impact parameter and Grashof velocity discussed. influences parameters modeling have interpreted terms a context. general, it shown that diffusivity This can cause an increase or decrease distributions. main findings paper illustrated graphical representations distributions operator.