  The main objective of this article is to introduce Euler-Riesz difference
sequence spaces of fractional order ${\tau} $ along with infinite matrices.
Some topological properties of these spaces are considered here along with the
Schauder basis, ${\alpha} -,\beta -$ and $\gamma -$duals of the spaces.
  Keywords: Euler-Riesz difference sequence space, difference operator
$\left(\Delta ^{\tau} \right)$, Schauder basis, infinite matrices and ${\alpha}
-,\beta -$ and $\gamma -$duals .
