On some new difference sequence spaces of fractional order

Serkan Demiriz, Osman Duyar

Let ${\Delta }^{(\alpha )}$ denote the fractional difference operator. In this paper, we define new difference sequence spaces $c_0(\Gamma ,{\Delta }^{(\alpha )},u)$ and $c(\Gamma ,{\Delta }^{(\alpha )},u)$. Also, the $\beta -$ dual of the…