In this article, a free convection flow of $\mathrm{Cu}-A{l}_2{O}_3-H_{2}O$ hybrid Maxwell nanofluids through a channel formed by two infinite vertical plates have been studied. Together with the the energy balance and heat source, a fractional model of Maxwell fluid is considered. To develop an analytical exact solution for velocity field, only the Caputo-Fabrizio definition of non-integral derivative together with application of Laplace transform method has been used. Some graphical presentation and discussion are made to see the effects of hybrid nanofluids and non-dimensional parameters on velocity boundary layer. As a result, a dual behavior of velocity was exposed due to fractional parameter for large and small times. A comparison between two kind of non-Newtonian fluids has been made and found that Brinkman fluid is more viscous than Maxwell fluid. Also, by letting Brinkman and Maxwell parameters zero, they coincides and the results obtained for Newtonian fluid showed graphically. The obtained results are realistic from the fractional model as by adjusting the values of fractional parameter can be compared with some experimental data.

在本文中，自由对流为 $铜-\mathrm{一种}{升}_2{Ø}_3-H_2Ø$已经研究了通过两个无限垂直板形成的通道的混合麦克斯韦纳米流体。连同能量平衡和热源一起，考虑了麦克斯韦流体的分数模型。为了开发速度场的解析精确解，仅使用Caputo-Fabrizio定义的非积分导数以及应用Laplace变换方法。进行了一些图形表示和讨论，以查看混合纳米流体和无量纲参数对速度边界层的影响。结果，由于分数参数在大大小小的时间内都暴露出速度的双重行为。对两种非牛顿流体进行了比较，发现布林克曼流体比麦克斯韦流体更粘。另外，通过将Brinkman和Maxwell参数设为零，它们一致，并且牛顿流体获得的结果以图形方式显示。从分数模型获得的结果是现实的，因为通过调整分数参数的值可以与一些实验数据进行比较。