The time-fractional Airy equation on the metric graphs
Analysis of PDEs
2026-03-31 v1
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.
Keywords
Cite
@article{arxiv.2603.28299,
title = {The time-fractional Airy equation on the metric graphs},
author = {Rakhimov Kamoladdin and Sobirov Zarifboy and Jabborov Nasridin},
journal= {arXiv preprint arXiv:2603.28299},
year = {2026}
}
Comments
16 pages, 2 figures