ИСТИНА

A nonlocal gravity model, which does not assume the existence of a new dimensional parameter in the action and includes a function $f(\Box^{-1} R)$, with $\Box$ the d'Alembertian operator, is considered. The algorithm, allowing to reconstruct $f(\Box^{-1} R)$, corresponding to the given Hubble parameter and the state parameter of the matter, is proposed. Using this algorithm, we show that the simplest case of $f$, which corresponds both de Sitter and power-law solutions, is an exponential function. For the model with an exponential function $f(\Box^{-1} R)$, de Sitter and power-law solutions are explored, without any restrictions on the parameters.