Inflation in mimetic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mrow><mml:mi>f</mml:mi><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math> gravity

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