Some Sobolev embeddings of fractional type and applications

dc.contributor.authorBenlatrache, Kenza
dc.contributor.authorSaadi, Abderachid: Supervisor
dc.date.accessioned2024-07-04T11:33:50Z
dc.date.available2024-07-04T11:33:50Z
dc.date.issued2024-06
dc.description.abstractUsing the Riemann-Liouville derivatives as a basis, we let us introduce in depth fractional Sobolev spaces, characterizing their distinctive nature. We also define derivatives weak fractional values and demonstrate their agreement with the derivatives of RiemannLiouville. Subsequently, we established the equivalence between certain norms within these spaces, thus deducing their exhaustiveness, reflexivity, and separability. In an unconventional way, we highlight certain Sobolev embeddings which are not generally classical, thus enriching our understanding of these spaces. Finally, we apply these notions to a specified boundary problem.
dc.identifier.urihttps://dspace.univ-msila.dz/handle/123456789/43262
dc.language.isoen
dc.publisherUniversity of M’sila, Faculty of Mathematics and Computer Science, Department of Mathematics
dc.subjectSobolev spaces of fractional order
dc.subjectRiemann-Liouville
dc.subjectSobolev injections
dc.titleSome Sobolev embeddings of fractional type and applications
dc.typeThesis

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
مذكرة ماستر بن لطرش كنزة.pdf
Size:
609.03 KB
Format:
Adobe Portable Document Format
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:

Collections