The Method of Potentials for the Airy Equation of Fractional Order
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911558084329472 |
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| author | Kamoladdin, Rakhimov |
| author_facet | Kamoladdin, Rakhimov |
| contents | In this work, initial-boundary value problems for the time-fractional Airy equation are considered on different intervals. We study the properties of potentials for this equation and, using these properties, construct solutions to the considered problems. The uniqueness of the solution is proved using an analogue of the Gronwall-Bellman inequality and an a priori estimate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29887 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Method of Potentials for the Airy Equation of Fractional Order Kamoladdin, Rakhimov Analysis of PDEs 35R11, 35A08, 35A09, 35C15 In this work, initial-boundary value problems for the time-fractional Airy equation are considered on different intervals. We study the properties of potentials for this equation and, using these properties, construct solutions to the considered problems. The uniqueness of the solution is proved using an analogue of the Gronwall-Bellman inequality and an a priori estimate. |
| title | The Method of Potentials for the Airy Equation of Fractional Order |
| topic | Analysis of PDEs 35R11, 35A08, 35A09, 35C15 |
| url | https://arxiv.org/abs/2603.29887 |