  In order to explain the late-time cosmological acceleration, we propose a new
pure geometric gravity based on Deser-Woodard theory, in which the expansion of
a matter-dominated universe can be accelerating. This new theory behaves as
well as general relativity in solar system and gravitational waves, which is an
important improvement over Deser-Woodard nonlocal gravity. Especially, for the
simplest case, theoretical considerations determine all the parameters that
appear in the Lagrangian.
