Unsteady flow of generalized Casson fluid with fractional derivative due to an infinite plate

The Caputo time-fractional derivative is introduced in the constitutive model of a generalized Casson fluid which is moving over an infinite, oscillating flat plate. Exact solutions for the fluid velocity and shear stress are obtained using the Laplace transform method. Closed forms of solutions are written in terms of Wright functions. The obtained solutions can be easily particularized for ordinary Casson fluid, viscous fluid with fractional derivative and ordinary viscous fluid. Numerical simulations are carried out for fractional parameter and Casson fluid parameter and results are shown in graphical illustrations.