请用science杂志的语言风格帮我润色以下段落：Tabejieu et al investigated the dynamic response of a Rayleigh beam on the fractional viscoelastic Pasternak foundation under a moving load using the standard average method a

Tabejieu and colleagues have recently explored the dynamic response of a Rayleigh beam on a fractional viscoelastic Pasternak foundation under a moving load using the standard average method. They have also elucidated the impact of load spacing. Additionally, the authors have discussed the influence of a moving load and random wind on the steady-state vibration of a Rayleigh beam on a fractional viscoelastic foundation based on the random average method. Meanwhile, Ouzizi and co-authors have investigated the dynamic response of a beam on a fractional-order viscoelastic nonlinear foundation when subjected to a variable-speed moving load. They have employed the Galerkin method and the detailed numerical method based on the finite difference and discrete fractional derivative approximation. The results demonstrate that the fractional derivation and nonlinear foundation have a significant influence on the deflection of the beam. However, research on the response of beams on fractional derivative foundations remains scarce, with most studies focusing on finite beams and only limited studies addressing the response of infinite beams. Furthermore, most studies have not considered the effect of lateral forces between soils. To address these gaps, the present study employs a fractional viscoelastic Pasternak model to simulate the foundation and investigates the dynamic response of an Euler beam under a moving load, as well as the impact of the order of fractional derivatives and various foundation beam parameters on the vibration response.