Green's function method for time-fractional diffusion equation on the star graph with equal bonds

Z. A. Sobirov; K. U. Rakhimov; R. E. Ergashov

Geodesic

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Green's function method for time-fractional diffusion equation on the star graph with equal bonds

Z. A. Sobirov ; K. U. Rakhimov ; R. E. Ergashov

Nanosistemy: fizika, himiâ, matematika, Tome 12 (2021) no. 3, pp. 271-278.

Voir la notice de l'article provenant de la source Math-Net.Ru

Résumé

This work devoted to construction of the matrix-Green's functions of initial-boundary value problems for the time-fractional diffusion equation on the metric star graph with equal bonds. In the case of Dirichlet and mixed boundary conditions we constructed Green's functions explicitly. The uniqueness of the solutions of the considered problems were proved by the method of energy integrals. Some possible applications in branched nanostructures were discussed.

Keywords: IBVP, PDE on metric graphs, Green's function.
Mots-clés : time-fractional diffusion equation

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     title = {Green's function method for time-fractional diffusion equation on the star graph with equal bonds},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
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     publisher = {mathdoc},
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     number = {3},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NANO_2021_12_3_a1/}
}

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Z. A. Sobirov; K. U. Rakhimov; R. E. Ergashov. Green's function method for time-fractional diffusion equation on the star graph with equal bonds. Nanosistemy: fizika, himiâ, matematika, Tome 12 (2021) no. 3, pp. 271-278. http://geodesic.mathdoc.fr/item/NANO_2021_12_3_a1/