  Are Dark Matter and Dark Energy the result of uncalculated addition
derivatives? The need to introduce dark matter dark and energy becomes
unnecessary if we consider that, the phenomenon of dark matter and dark energy
is a result of not computing the additional derivatives of the equation of
motion. For this purpose, we use higher derivatives in the form of non-local
variables, known as the Ostrogradsky formalism. As a mathematician,
Ostrogradsky considered the dependence of the Lagrange function on acceleration
and its higher derivatives with respect to time. This is the case that fully
correspond with the real frame of reference, and that can be both inertial and
non-inertial frames. The problem of dark matter and dark energy presented
starting from basic observations to explain the different results in theory and
experiment. The study of galactic motion, especially the rotation curves,
showed that a large amount of dark matter can be found mainly in galactic
halos. The search for dark matter and dark energy has not confirmed with the
experimental discovery of it, so we use Ostrogradsky formalities to explain the
effects described above, so that the need to introduce dark matter and dark
energy disappears.
