Bektas, Cigdem A.Bayram, Erdal2024-10-292024-10-2920241793-55711793-7183https://doi.org/10.1142/S1793557124500396https://hdl.handle.net/20.500.11776/14497In this study, we introduce a novel sequence space denoted as & ell;((tau))(p) with a fractional order tau. This new space is defined by the matrix B-similar to(Delta((tau))), which is a composition of the Euler-Riesz matrix B-similar to and the fractional ordered difference operator Delta((tau)). We explore its topological properties along with its alpha-, beta-, and gamma-duals. Furthermore, we provide characterizations for certain matrix mappings from & ell;((tau))(p) to the sequence spaces of Maddox.en10.1142/S1793557124500396info:eu-repo/semantics/closedAccessEuler-Riesz difference sequence spacedifference operatorparanormalpha-beta- and gamma-dualsmatrix transformationsArticle175N/AWOS:001206494200001