Impact of Newtonian Heating via Fourier and Fick’s Laws on Thermal Transport of Oldroyd-B Fluid by Using Generalized Mittag-Leffler Kernel

In this manuscript, a new approach to study the fractionalized Oldroyd-B fluid flow based on fundamental symmetry is described by critically examining Prabhakar fractional derivative near an infinitely vertical plate, wall slip condition temperature along with Newtonian heating effects and constant concentration. The phenomenon has been in forms of partial differential equations heat mass transportation effect taken into account. operator which was recently introduced used work together generalized Fick’s Fourier’s law. model transfromed non-dimentional form using some suitable quantities analyzed. non-dimensional developed for momentum, thermal diffusion solved analytically via Laplace transformation method calculated solutions expressed terms Mittag-Leffler special functions. Graphical demonstrations are made characterize physical behavior different parameters significance such system over concentration energy profiles. Moreover, validate our current results, limiting models as classical Maxwell recovered, presence with/without boundary conditions. Further, it observed from graphs velocity curves relatively higher than models. A comparative analysis between depicts that explains memory more adequately.