Analytical Investigation of Casson Fluid Flow over a Riga Plate using the Prabhakar Fractional Derivative

Abstract

This study analyzes unsteady Casson fluid flow over an accel erating Riga plate, utilizing Prabhakar fractional derivatives for stability analysis. Fourier and Fick’s laws describe heat and mass transfer by cap turing fluid-thermal-concentration relationships. The fractional PDEs are translated using the Laplace transform and solved analytically, with Za kian’s numerical inversion applied to the velocity, temperature, and con centration fields. The effect of crucial parameters Casson number, Grashof numbers, Prandtl number, Hartmann number, fractional orders, magnetic and Schmidtnumbersisinvestigated. The results provide light on flow stability and transport mechanisms, with important implications for engineer ing applications and future fractional calculus modeling of non-Newtonian
fluid flows.