Abstract & Overview
In this article we introduce paranormed Riesz difference sequence spaces of fractional order α, r t 0 p, ∆ (α) , r t c p, ∆ (α) and r t ∞ p, ∆ (α) defined by the composition of fractional difference operator ∆ (α) , defined by (∆i!Γ(α-i+1) x k-i , and Riesz mean matrix R t .We give some topological properties, obtain the Schauder basis and determine the α-, β-and γ-duals of the new spaces.Finally, we characterize certain matrix classes related to these new spaces.