A generalized fractional difference operator and its applications. Issue 9 (1st September 2020)

• Record Type: Journal Article
• Authors: Meng, Jian; Mei, Liquan
• Is Part Of: Linear & multilinear algebra. Volume 68:Issue 9(2020)
• Page Start: 1848
• Page End: 1860
• Publication Date: 2020-09-01
• Subjects: H.-L. Gau; Fractional difference operator -- matrix domain -- matrix transformation -- fractional derivative and integral; 46A45 -- 46A35 -- 46B45; Algebras, Linear -- Periodicals; Multilinear algebra -- Periodicals; 512.505
• DOI: 10.1080/03081087.2018.1561826
• Languages: English
• ISSNs: 0308-1087

Abstract

ABSTRACT: In this paper, some results of a generalized fractional difference operator are studied. Fractional Euler difference sequence spaces e 0 t ( B ( α ~ ) ) and e c t ( B ( α ~ ) ) are introduced. Furthermore, some functional properties, Köthe-Toeplitz duals and continuous duals of these sequence spaces are examined. Finally, the definitions of fractional derivatives and integrals are introduced by applying the generalized difference scheme.