Some general results on fractional Banach sets

Faruk ÖZGER

Article Details

Some general results on fractional Banach sets

Authors:

Faruk ÖZGER

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2019 Vol.43 Issue 2, pp.783-794

Document Type:

Article

Publication Date:

3/2019

Document Language:

Turkish

Document ID (Org No.):

2000745649

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Abstract:

 

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.

Article Details

Some general results on fractional Banach sets

Authors: Faruk ÖZGER

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2019 Vol.43 Issue 2, pp.783-794

Document Type: Article

Publication Date: 3/2019

Document Language: Turkish

Document ID (Org No.): 2000745649

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Issues

Authors:

Faruk ÖZGER

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2019 Vol.43 Issue 2, pp.783-794

Document Type:

Article

Publication Date:

3/2019

Document Language:

Turkish

Document ID (Org No.):

2000745649

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098