Cosmological solutions in modified gravity with monomial nonlocality

We consider cosmological properties of modified gravity with nonlocal term $R^p\mathcal{F}(\Box)R^q$ in its Lagrangian. Equations of motion are presented. For the flat FLRW metric, and some particular values of natural numbers $p$ and $q$ cosmological solutions of the form $a(t)= C e^{- \frac \gamma{12}t^2}$ are found.