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Efendiyev, M.A. ; Vougalter, V.*

On the well-posedness of some model arising in the mathematical biology.

Math. Meth. Appl. Sci., DOI: 10.1002/mma.10507 (2024)
DOI
Open Access Green möglich sobald Postprint bei der ZB eingereicht worden ist.
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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Publikationstyp Artikel: Journalartikel
Dokumenttyp Wissenschaftlicher Artikel
Korrespondenzautor
Schlagwörter Integro-differential Equations ; Sobolev Spaces ; Well-posedness; Anomalous Diffusion; Traveling-waves
ISSN (print) / ISBN 0170-4214
e-ISSN 1099-1476
Zeitschrift Mathematical Methods in the Applied Sciences
Verlag Wiley
Verlagsort 111 River St, Hoboken 07030-5774, Nj Usa
Nichtpatentliteratur Publikationen
Begutachtungsstatus Peer reviewed
Institut(e) Institute of Computational Biology (ICB)
Förderungen NSERC