This article is cited in 2 papers

The time-fractional Airy equation on the metric graph

Kamoladdin Rakhimov^a, Zarifboy Sobirov^b, Nasridin Zhabborov<sup>a

a</sup> National University of Uzbekistan, Tashkent, Uzbekistan
^b University of Geological Sciences, Tashkent, Uzbekistan

Abstract: Initial boundary value problem for the time-fractional Airy equation on a graph with finite bonds is considered in the paper. Properties of potentials for this equation are studied. Using these properties the solutions of the considered problem were found. The uniqueness theorem is proved using the analogue of Grönwall-Bellman inequality and a-priory estimate.

Keywords: time-fractional Airy equation, IBVP, PDE on metric graphs, fundamental solutions, integral representation.

UDC: 517.95

Received: 10.09.2020
Received in revised form: 10.12.2020
Accepted: 20.02.2021

Language: English

DOI: 10.17516/1997-1397-2021-14-3-376-388

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