Fractional Sobolev Spaces via Riemann-Liouville Derivatives
Joint Authors
Idczak, Dariusz
Walczak, Stanisław
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-08
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Using Riemann-Liouville derivatives, we introduce fractional Sobolev spaces, characterize them, define weak fractional derivatives, and show that they coincide with the Riemann-Liouville ones.
Next, we prove equivalence of some norms in the introduced spaces and derive their completeness, reflexivity, separability, and compactness of some imbeddings.
An application to boundary value problems is given as well.
American Psychological Association (APA)
Idczak, Dariusz& Walczak, Stanisław. 2013. Fractional Sobolev Spaces via Riemann-Liouville Derivatives. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-447855
Modern Language Association (MLA)
Idczak, Dariusz& Walczak, Stanisław. Fractional Sobolev Spaces via Riemann-Liouville Derivatives. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-447855
American Medical Association (AMA)
Idczak, Dariusz& Walczak, Stanisław. Fractional Sobolev Spaces via Riemann-Liouville Derivatives. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-447855
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447855