The present paper deals with flat Friedmann–Robertson–Walker (FRW) model with two-fluid sources in fractal cosmology. One fluid in this model represents the Universe’s matter content, while the other is a radiation field that models the cosmic microwave background. To obtain the deterministic model, we used the pressure–density relationship for matter via the gamma law equation of state \(p_{m} = (\gamma -1)\, \rho _{m}, \,\, 1\le \gamma \le 2\). The solutions of fractal field equations are obtained in terms of Kummer’s confluent hypergeometric function of the first kind. Some physical parameters of the models are obtained and their behaviour is discussed in detail using graphs.

本文讨论了分形宇宙学中具有两种流体源的扁平弗里德曼-罗伯逊-沃克 (FRW) 模型。该模型中的一种流体代表宇宙的物质含量，而另一种则是模拟宇宙微波背景的辐射场。为了获得确定性模型，我们通过状态的伽马定律方程使用物质的压力-密度关系\(p_{m} = (\gamma -1)\, \rho _{m}, \,\, 1\乐\伽马\乐2\)。分形场方程的解是根据第一类Kummer合流超几何函数得到的。获得了模型的一些物理参数，并使用图表详细讨论了它们的行为。