Prabhakar fractional derivative model of sodium alginate (C6H9NaO7) for accelerated plate motions

The Prabhakar fractional derivative model is not studied in the open literature for Casson fluid when vertical plate exhibits linear and quadratic translations with constant heating. Therefore, this study deals thermal transport of sodium alginate (C 6 H 9 NaO 7 ) over a temperature. Since classical PDEs are incapable analyzing investigating physical impact flow variables memory effects, developed using approach. Two different types (linear quadratic) considered. non-dimensional governing equations transformed into solved Laplace transformation (L.T) technique. effects behavior significant parameters order graphically discussed. As consequence, it found that as limitations increased, momentum profiles drop. In addition, profile case translation (variable acceleration) shows higher magnitude than (constantly accelerated plate).