The time-fractional Airy equation on the metric graphs
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866915899272855552 |
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| author | Kamoladdin, Rakhimov Zarifboy, Sobirov Nasridin, Jabborov |
| author_facet | Kamoladdin, Rakhimov Zarifboy, Sobirov Nasridin, Jabborov |
| contents | In this work we investigate Cauchy problem and initial boundary value problem for time-fractional Airy equation on the graphs with infinite and finite bonds. We studied properties of potentials for this equation and using these properties found the solutions of the considered problems. The uniqueness theorem is proved using the analogue of Grönwall-Bellman inequality and a-priory estimate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_28299 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The time-fractional Airy equation on the metric graphs Kamoladdin, Rakhimov Zarifboy, Sobirov Nasridin, Jabborov Analysis of PDEs 35G25, 35K30, 35R11 In this work we investigate Cauchy problem and initial boundary value problem for time-fractional Airy equation on the graphs with infinite and finite bonds. We studied properties of potentials for this equation and using these properties found the solutions of the considered problems. The uniqueness theorem is proved using the analogue of Grönwall-Bellman inequality and a-priory estimate. |
| title | The time-fractional Airy equation on the metric graphs |
| topic | Analysis of PDEs 35G25, 35K30, 35R11 |
| url | https://arxiv.org/abs/2603.28299 |