This paper presents a research for the 3D flow of a generalized Burgers' fluid between
two side walls generated by an exponential accelerating plate and a constant pressure gradient,
where the no-slip assumption between the exponential accelerating plate and the Burgers' fluid is
no longer valid. The governing equations of the generalized Burgers' fluid flow are established by
using the fractional calculus approach. Exact analytic solutions for the 3D flow are established
by employing the Laplace transform and the finite Fourier sine transform. Furthermore, some
3D and 2D figures for the fluid velocity and shear stress are plotted to analyze and discuss the
effects of various parameters