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On the well-posedness of some model arising in the mathematical biology.
Math. Meth. Appl. Sci., DOI: 10.1002/mma.10507 (2024)
In the article, we establish the global well-posedness in (Formula presented.) of the integro-differential equation in the case of anomalous diffusion when the one-dimensional negative Laplace operator is raised to a fractional power in the presence of the transport term. The model is relevant to the cell population dynamics in the mathematical biology. Our proof relies on a fixed point technique.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
Integro-differential Equations ; Sobolev Spaces ; Well-posedness; Anomalous Diffusion; Traveling-waves
Language
english
Publication Year
2024
HGF-reported in Year
2024
ISSN (print) / ISBN
0170-4214
e-ISSN
1099-1476
Publisher
Wiley
Publishing Place
111 River St, Hoboken 07030-5774, Nj Usa
Reviewing status
Peer reviewed
Institute(s)
Institute of Computational Biology (ICB)
POF-Topic(s)
30205 - Bioengineering and Digital Health
Research field(s)
Enabling and Novel Technologies
PSP Element(s)
G-503800-001
Grants
NSERC
WOS ID
001316359400001
Scopus ID
85204491413
Erfassungsdatum
2024-10-04