2 papers
math.AP2026
Cauchy Problem for the Time-Fractional Airy-Type Equation on a Star Graph with Edge-Dependent Order of Derivative
Zarif Sobirov, Kamoladdin Rakhimov
We study the Cauchy problem for a time-fractional Airy-type equation on an infinite metric star graph with edge-dependent Caputo derivatives. By constructing layer potentials gener…
math.AP2024
Inverse source problem for the space-time fractional parabolic equation on a metric star graph with an integral overdetermination condition
R. R. Ashurov, Z. A Sobirov, A. A. Turemuratova
In the present paper, we investigate the initial-boundary value problem for fractional order parabolic equation on a metric star graph in Sobolev spaces. First, we prove the existe…