On Nonlocal Modified Gravity and its Cosmological Solutions
  During hundred years of General Relativity (GR), many significant
gravitational phenomena have been predicted and discovered. General Relativity
is still the best theory of gravity. Nevertheless, some (quantum) theoretical
and (astrophysical and cosmological) phenomenological difficulties of modern
gravity have been motivation to search more general theory of gravity than GR.
As a result, many modifications of GR have been considered. One of promising
recent investigations is Nonlocal Modified Gravity. In this article we present
a brief review of some nonlocal gravity models with their cosmological
solutions, in which nonlocality is expressed by an analytic function of the
d'Alembert-Beltrami operator $\Box$. Some new results are also presented.
