Some sequence spaces over $n$-normed spaces defined by fractional difference operator and Musielak-Orlicz function

Abstract

In the present paper we introduce some sequence spaces over $n$-normed spaces defined by fractional difference operator and Musielak-Orlicz function $\mathcal{M} = (\mathfrak{F}_i)$. We also study some topological properties and prove some inclusion relations between these spaces.