Self-similar cosmological solutions in f(R,T) gravity theory

We study the $f(R,T)$ cosmological models under self-similarity hypothesis. determine exact form that each physical and geometrical quantity may take in order Field Equations (FE) admit self-similar solutions through matter collineation approach. two models: case$\ f(R,T)=f_{1}(R)+f_{2}(T)$ case $f(R,T)=f_{1}(R)+f_{2} (R)f_{3}(T)$. In case, we state general theorems which completely of unknown functions $f_{i}$ such field equations solutions. also some corollaries as limiting cases. These results are quite valid for any homogeneous metric$.$ this way, able to generate new scenarios. As examples, cases by finding these particular models.