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- W4387130277 abstract "In this paper, we investigate an initial boundary-value problem for a pseudo-subdiffusion equation involving the Hilfer time-fractional derivative on a metric graph. At the boundary vertices of the graph, we used the Dirichlet condition. At the branching points (inner vertices) of the graph, we use δ-type conditions. Such kind of conditions ensure a local flux conservation at the branching points and are also called Kirchhoff conditions. The uniqueness of a solution of the considered problem is shown using the so-called method of energy integrals. The existence of a regular solution to the considered problem is proved. The solution is constructed in the form of the Fourier series." @default.
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- W4387130277 date "2023-09-18" @default.
- W4387130277 modified "2023-10-18" @default.
- W4387130277 title "UNIQUE SOLVABILITY OF IBVP FOR PSEUDO-SUBDIFFUSION EQUATION WITH HILFER FRACTIONAL DERIVATIVE ON A METRIC GRAPH" @default.
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- W4387130277 doi "https://doi.org/10.47475/2500-0101-2023-8-3-351-370" @default.
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