The mixed convection flow of carbon nanotubes due to porous vertical plate has been presented via fractional simulations. The single and multi-wall carbon nanotubes are used to observe the thermal aspect of hybrid nanofluid model. The blood is treated as base material. The shear thinning and thickening aspect of blood are predicted by using the Casson fluid model. The comparative thermal observations of blood base fluid with multi-wall carbon nanotubes (MWCNTs) and single-wall carbon nanotubes (SWCNTs) are reported. The Prabhakar fractional derivative simulations are performed to analyze the physical pattern of problem. The Laplace transformations are implemented to the integrating task. It is noticed that fractional parameter reduces the velocity profile for both MWCNTs and SWCNTs suspension. With increment in volume fraction and fractional parameters reduces the thermal profile effectively.
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