Global Solutions of Coupled Nonlocal Parabolic Systems Arising from Reversible Chemical Reactions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866915830896263168 |
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| author | Douaifia, Redouane Abdelmalek, Salem Kirane, Mokhtar |
| author_facet | Douaifia, Redouane Abdelmalek, Salem Kirane, Mokhtar |
| contents | A class of coupled time-space fractional reaction-diffusion systems derived from reversible chemical reactions over a bounded domain is investigated. Employing mainly an appropriate Lyapunov functional and an improved maximum principle, we demonstrate the global-in-time existence of strong solutions under some assumptions on the systems parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_02677 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Global Solutions of Coupled Nonlocal Parabolic Systems Arising from Reversible Chemical Reactions Douaifia, Redouane Abdelmalek, Salem Kirane, Mokhtar Analysis of PDEs 35K58, 35B50, 26A33, 60G22 A class of coupled time-space fractional reaction-diffusion systems derived from reversible chemical reactions over a bounded domain is investigated. Employing mainly an appropriate Lyapunov functional and an improved maximum principle, we demonstrate the global-in-time existence of strong solutions under some assumptions on the systems parameters. |
| title | Global Solutions of Coupled Nonlocal Parabolic Systems Arising from Reversible Chemical Reactions |
| topic | Analysis of PDEs 35K58, 35B50, 26A33, 60G22 |
| url | https://arxiv.org/abs/2603.02677 |