In this paper, we employ mimetic $f(R,T)$ gravity coupled with Lagrange multiplier and mimetic potential to yield viable inflationary cosmological solutions consistent with latest Planck and BICEP2/Keck Array data. We present here three viable inflationary solutions of the Hubble parameter ($H$) represented by $H\left(N\right)={(A\exp \beta N+B{\alpha }^N)}^{\gamma }$, $H\left(N\right)={(A{\alpha }^N+B\log N)}^{\gamma }$, and $H\left(N\right)={(A{e}^{\beta N}+B\log N)}^{\gamma }$, where $A$, $\beta$, $B$, $\alpha$, $\gamma$ are free parameters, and $N$ represents the number of e-foldings. We carry out the analysis with the simplest minimal $f(R,T)$ function of the form $f(R,T)=R+\chi T$, where $\chi$ is the model parameter. We report that for the chosen $f(R,T)$ gravity model, viable cosmologies are obtained compatible with observations by conveniently setting the Lagrange multiplier and the mimetic potential.

在本文中，我们采用模拟 $F(\mathrm{电阻},吨)$引力加上拉格朗日乘数和模拟潜力，产生与最新普朗克和 BICEP2/凯克阵列数据一致的可行膨胀宇宙学解决方案。我们在这里介绍了哈勃参数的三个可行的暴胀解（$H$) 代表 $H\left(N\right)={(\mathrm{一种}\mathrm{经验值}\beta N+乙{\alpha }^N)}^{\gamma }$, $H\left(N\right)={(\mathrm{一种}{\alpha }^N+乙\mathrm{日志}N)}^{\gamma }$， 和 $H\left(N\right)={(\mathrm{一种}{\mathrm{电子}}^{\beta N}+乙\mathrm{日志}N)}^{\gamma }$， 在哪里 $\mathrm{一种}$, $\beta$, $乙$, $\alpha$, $\gamma$ 是自由参数，并且 $N$表示 e 折叠的数量。我们用最简单的最小化进行分析$F(\mathrm{电阻},吨)$ 表格的功能 $F(\mathrm{电阻},吨)=\mathrm{电阻}+\chi 吨$， 在哪里 $\chi$是模型参数。我们报告说，对于所选的$F(\mathrm{电阻},吨)$ 引力模型，通过方便地设置拉格朗日乘数和模拟势，可以获得与观测兼容的可行宇宙学。