arXiv subjects

Rakhimov Kamoladdin

Publications and source records attributed to Rakhimov Kamoladdin.

2 recordsLinked to original sources

arXiv2026

The Method of Potentials for the Airy Equation of Fractional Order

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.

math.AP↗

arXiv2026

The time-fractional Airy equation on the metric graphs

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.

math.AP↗