A Prabhakar Fractional Approach for the Convection Flow of Casson Fluid across an Oscillating Surface Based on the Generalized Fourier Law

In the present work, an unsteady convection flow of Casson fluid, together with oscillating vertical plate, is examined. The governing PDEs corresponding to velocity and temperature profile are transformed into linear ODEs help Laplace transform method. ordinary derivative model generalized fractional based on a Fourier law. solutions for energy equations obtained after making dimensionless. To check insight physical parameters, especially symmetric behavior it found that small large values time, fluid properties show dual behavior. Since exhibits memory function at chosen value therefore more suitable in exhibiting than classical model. Such results can be useful fitting real data where needed. limiting case when parameters taken ?=? = 0 ? 1 both temperature, we get derivatives from existing literature.