Cosmological solutions in modified gravity with monomial nonlocality

We consider cosmological properties of modified gravity with nonlocal term $R^p\mathcal{F}(\mathrm{\square })R^q$ 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.