Abstract
In the present paper, we intend to make an approach to introduce and study the applications of fractional-order difference operators by generating Orlicz almost null and almost convergent sequence spaces. We also show that aforesaid spaces are linearly isomorphic and BK-spaces. Further, we investigate inclusion relations between newly formed sequence spaces and compute the beta-, gamma-duals. Moreover, we characterize several classes of infinite matrices and give some interesting examples. Finally, we study aforesaid sequence spaces over n-normed space and demonstrate their several algebraic and topological properties. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.