Progress in Fractional Differentiation & Applications

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In this article, the laminar boundary layer flow of a non-compressible viscous fluid with carbon nanotubes over an infinite vertical plate is taken into account. Our goal is to study the effects of slip boundary condition on the generalized viscous nanofluid over an infinite vertically positioned plate. The unsteady fractional Prabhakar derivative is used to introduce the correlated fractional system of the governing equations. We find the analytical expression of velocity of the fluid using the Laplace transform method. The results obtained in case of no slip effect are compared with the classical results. The impacts of fractional and physical factors are depicted graphically.

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