Publication:
Well-posedness results for nonlinear fractional diffusion equation with memory quantity
Well-posedness results for nonlinear fractional diffusion equation with memory quantity
| dc.contributor.author | Nguyen Huy Tuan | |
| dc.contributor.author | Anh Tuan Nguyen | |
| dc.contributor.author | Amar Debbouche | |
| dc.contributor.author | Valery Antonov | |
| dc.date.accessioned | 2024-03-07T01:58:33Z | |
| dc.date.available | 2024-03-07T01:58:33Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | "We study the well-posedness for solutions of an initial-value boundary problem on a two-dimensional space with source functions associated to nonlinear fractional di usion equations with the Riemann-Liouville derivative and nonlinearities with memory on a two-dimensional domain. In order to derive the existence and uniqueness for solutions, we mainly proceed on reasonable choices of Hilbert spaces and the Banach xed point principle. Main results related to the Mittag-Le er functions such as its usual lower or upper bound and the relationship with the Mainardi function are also applied. In addition, to set up the global-in-time results, Lp Lq estimates and the smallness assumption on the initial data function are also necessary to be applied in this research. Finally, the work also considers numerical examples to illustrate the graphs of analytic solutions" | |
| dc.identifier.doi | 10.3934/dcdss.2023038 | |
| dc.identifier.uri | http://repository.vlu.edu.vn:443/handle/123456789/12884 | |
| dc.language.iso | en_US | |
| dc.relation.ispartof | Discrete and Continuous Dynamical Systems - S | |
| dc.relation.issn | 1937-1632 | |
| dc.relation.issn | 1937-1179 | |
| dc.title | Well-posedness results for nonlinear fractional diffusion equation with memory quantity | |
| dc.type | journal-article | |
| dspace.entity.type | Publication | |
| oaire.citation.issue | 10 | |
| oaire.citation.volume | 16 |
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