The present study deals with a Tsallis holographic dark energy model in a flat Friedmann-Lamatire-Rbertson-Walker space-time geometry in the context of higher derivative theory of gravity. We have solved the field equations by applying energy conservation-law in non-interacting case and have obtained such a scale factor $a\left(\tau \right)={\left[\sinh \left(\sqrt{2a_1}\tau \right)\right]}^{\frac{1}{2}}$ where $a_1$ is called as model parameter which shows transit phase evolution of the universe (decelerating to accelerating). Using this scale factor we have obtained the various cosmological parameters viz. Hubble parameter $H$, deceleration parameter (DP) $q$, jerk $j$, snap $s$, lerk $l$ and max-out $m$. Constraining on Hubble parameters $H\left(z\right)$ by the observational data of $H\left(z\right)$ we have obtained the present values of $H_0$, $a_0$ and $a_1$ and by using these constrained values, we have studied other cosmological parameters. Taking the constant equation of state (EoS) ${\omega }_m$ for ordinary matter, we have investigated the effective behaviour of various cosmological parameters and energy conditions in our model. We have observed the present values of $\{t_0,H_0,q_0,j_0,s_0,l_0,m_0,{\omega }_{d{e}_0},{\omega }_0^{\left(eff\right)}\}$ and discussed with $\Lambda$CDM model. We have found the age of the present universe $t_0=13.05$ Gyrs, present value of DP $q_0=-0.8065$ and transition point $z_t=0.748$ which are compatible with several observational results.

本研究在高导引力理论的背景下处理平面弗里德曼-拉马蒂尔-Rbertson-Walker 时空几何中的 Tsallis 全息暗能量模型。我们通过在非相互作用情况下应用能量守恒定律来求解场方程，并获得了这样的比例因子$\mathrm{一种}\left(\tau \right)={\left[信\left(\sqrt{2{\mathrm{一种}}_1}\tau \right)\right]}^{\frac{1}{2}}$ 在哪里 ${\mathrm{一种}}_1$被称为模型参数，它显示了宇宙的过渡阶段演化（减速到加速）。使用这个比例因子，我们获得了各种宇宙学参数，即。哈勃参数$H$，减速参数（DP） $q$，混蛋 $j$， 折断 $秒$, 勒克 $升$ 和最大输出 $米$. 对哈勃参数的约束$H\left(z\right)$ 根据观测数据 $H\left(z\right)$ 我们已经获得了现值 $H_0$, ${\mathrm{一种}}_0$ 和 ${\mathrm{一种}}_1$通过使用这些约束值，我们研究了其他宇宙学参数。取常数状态方程 (EoS)${\omega }_{米}$对于普通物质，我们研究了模型中各种宇宙学参数和能量条件的有效行为。我们观察到的现值$\{{吨}_0,H_0,q_0,j_0,{秒}_0,{升}_0,{米}_0,{\omega }_{d{\mathrm{电子}}_0},{\omega }_0^{\left(\mathrm{电子}FF\right)}\}$ 并与 $\Lambda$清洁发展机制模型。我们已经发现了现在宇宙的年龄${吨}_0=13.05$ Gyrs，DP 的现值 $q_0=-0.8065$ 和过渡点 $z_{吨}=0.748$ 这与几个观察结果兼容。