Applications of Prabhakar-like Fractional Derivative for the Solution of Viscous Type Fluid with Newtonian Heating Effect

This article examines a natural convection viscous unsteady fluid flowing on an oscillating infinite inclined plate. The Newtonian heating effect, slip effect the boundary wall, and constant mass diffusion conditions are also considered. In order to account for extended memory effects, semi-analytical solution of transformed governed partial differential equations is attained with help recent more efficient fractional definition known as Prabhakar, like thermal derivative Mittag-Leffler function. Fourier Fick’s laws considered in profile concentration field solution. essentials’ preliminaries, model, execution approach expansively addressed. physical impacts different parameters all plotted compared graphically. Additionally, heat transfer rate, skin friction examined numerical techniques. Consequently, it noted that variation results decaying behavior both momentum profiles while increasing passage time. Furthermore, comparing schemes existing literature, overlapping curves validates equations.