JOURNAL ARTICLE

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

  • Published In: Mathematical Methods in the Applied Sciences, 2025, v. 48, n. 3. P. 3670 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Efendiev, Messoud; Vougalter, Vitali 3 of 3

Abstract

In the article, we establish the global well‐posedness in W1,2,2(ℝ×ℝ+)$$ {W}^{1,2,2}\left(\mathrm{\mathbb{R}}\times {\mathrm{\mathbb{R}}}^{+}\right) $$ 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. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Mathematical Methods in the Applied Sciences. 2025/02, Vol. 48, Issue 3, p3670
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2025
  • ISSN:0170-4214
  • DOI:10.1002/mma.10507
  • Accession Number:184108958
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