In this paper, we have investigated that the power law variation of Brans–Dicke scalar field \((\phi )\) with scale factor (a) is not validated by field equations in general for the Universe filled with dark matter and Tsallis type holographic dark energy. However, for specific choice of free parameters \((\omega = -\frac{3}{2}\) and \(n = -1)\) which are differ from its values fixed in Ghaffari et al. (Eur Phys J C 78:706, 2018) to describe various physical properties of the Universe in derived model, the power law variation of \(\phi \) with a leads to consistent results. Further, we notice that the energy conservation law for Tsallis holographic dark energy in Brans–Dicke gravity does not hold.

在本文中，我们研究了对于填充了暗物质和Tsallis类型的宇宙，一般没有用场方程来验证Brans–Dicke标量场\（（\ phi）\）与比例因子（a）的幂律变化。全息暗能量。但是，对于自由参数\（（\ omega =-\ frac {3} {2} \）和\（n = -1）\）的特定选择，其参数与Ghaffari等人的固定值不同。（欧洲物理学JC 78：706，2018）描述了宇宙的各种物理性质在派生模型中，幂律变化\（\披\）与一个导致一致的结果。此外，我们注意到在Brans–Dicke重力中Tsallis全息暗能量的能量守恒定律不成立。