A class of solutions of field equations in \(f(R,T)\) gravity proposed by Harko et. al. (2011) for a Bianchi type I (Kasner form) space–time with dark matter and Holographic Dark Energy (HDE) is mentioned. Exact solutions of field equations are obtained with volumetric power and exponential expansion laws. The negative value of the deceleration parameter represents the present acceleration of the universe. It is observed that EoS parameter of HDE is a decreasing function, converges to the negative value in Power-law model whereas in exponential model, it behaves like cosmological constant. The overall density parameter approaches to some constant values close to 1 which is in agreement with the observational data of the universe. The physical and geometrical parameters of the models are discussed in detail. The statefinder diagnostic pair and jerk parameter are analyzed to characterize completely different phases of the universe.

\（f（R，T）\）中的一类场方程的解Harko等人提出的重力。al。（2011年）提到了一种具有暗物质和全息暗能量（HDE）的Bianchi I型（Kasner形式）时空。场方程的精确解是通过体积幂和指数膨胀定律获得的。减速度参数的负值表示宇宙的当前加速度。可以看出，HDE的EoS参数是一个递减函数，在幂律模型中收敛为负值，而在指数模型中，它的行为类似于宇宙常数。总密度参数接近一些接近于1的常数，这与宇宙的观测数据一致。详细讨论了模型的物理和几何参数。