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arXiv · 2603.28299

The time-fractional Airy equation on the metric graphs

Rakhimov Kamoladdin·Sobirov Zarifboy·Jabborov Nasridin
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Abstract

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 Gr\"onwall-Bellman inequality and a-priory estimate.

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Rakhimov Kamoladdin, Sobirov Zarifboy, Jabborov Nasridin. 2026-03-30. The time-fractional Airy equation on the metric graphs. https://doi.org/10.17516/1997-1397-2021-14-3-376-388

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