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

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