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Semilinear multi-term fractional in time diffusion with memory.
- Source :
- Frontiers in Applied Mathematics & Statistics; 2024, p01-12, 12p
- Publication Year :
- 2024
-
Abstract
- In this study, the initial-boundary value problems to semilinear integro-differential equations with multi-term fractional Caputo derivatives are analyzed. A particular case of these equations models oxygen diffusion through capillaries. Under proper requirements on the given data in the model, the classical and strong solvability of these problems for any finite time interval [0, T] are proved via so-called continuation method. The key point in this approach is finding suitable a priori estimates of a solution in the fractional Hölder and Sobolev spaces. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22974687
- Database :
- Complementary Index
- Journal :
- Frontiers in Applied Mathematics & Statistics
- Publication Type :
- Academic Journal
- Accession number :
- 176862995
- Full Text :
- https://doi.org/10.3389/fams.2024.1388414