Some general results on fractional Banach sets | Zendy

Faruk Özger | Zendy

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Some general results on fractional Banach sets

Author(s) -

Faruk Özger

Publication year - 2019

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1802-82

Subject(s) - mathematics , hausdorff measure , pure mathematics , hausdorff space , matrix (chemical analysis) , measure (data warehouse) , mathematical analysis , discrete mathematics , hausdorff dimension , materials science , database , computer science , composite material

The gamma function which is expressed by an improper integral is used to establish the fractional difference operators and fractional Banach sets. In this study, we achieve some comprehensive and complementary results related to characterizations of the matrix classes of fractional Banach sets. We also obtain some identities or inequalities for the Hausdorff measure of noncompactness of the corresponding matrix operators, and finally find the necessary and sufficient conditions for those matrix operators to be compact.

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