A note on fractional difference operators

Abstract

In the present article, following on very recent and new approach of fractional difference operator by Baliarsingh (2016), we establish some new ideas involving the exponent rules of this operator. In fact, the new results are sufficient enough to describe the results obtained by Baliarsingh and also provide certain improvements on them. 2010 Mathematics Subject Classification: 44A05, 40C05, 26A33, Keywords: Fractional order difference operator, Sequence spaces, Fractional derivatives and integrals