The article presents a theoretical study on the electroosmotic flow of generalized Maxwell fluids through a polyelectrolyte layer-coated nanopore, considering ion partitioning under an alternating current electric field. The relative permittivity of the polyelectrolyte layer is assumed to be significantly lower than that of the electrolyte solution, creating ion partitioning effects. The Born formula, related to the change in ion free energy between regions of different permittivities, accounts for this effect. Ionic species distribution follows the modified Boltzmann distribution for low surface charge density. The Born formula, integrated with the modified Poisson-Boltzmann equation, determines the induced potential distribution. Using the Debye-Hückel approximation, an analytic solution of the modified Poisson-Boltzmann equation is derived within and outside the polyelectrolyte layer. The Cauchy momentum equation and the Maxwell constitutive relationship’s stress components are considered for fluid flow, presenting an analytic solution for the full domain. The study adopts cylindrical coordinates, assuming axisymmetric, fully developed flow. Solutions use the Modified Bessel function of the first and second kinds. The effects of permittivity differences, PEL thickness, fixed charge density, and the softness parameter are analyzed. Comparisons between generalized Maxwell and Newtonian fluid models show increased permittivity differences reduce axial velocity, more prominently in Maxwell fluids. Increased PEL thickness and fixed charge density decrease average flow, while oscillating Reynolds numbers increase flow oscillation, reducing average flow.