Green’s function method for time-fractional diffusion equation on the star graph with equal bonds
https://doi.org/10.17586/2220-8054-2021-12-3-271-278
Abstract
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.
About the Authors
Z. A. Sobirov
University of Geological Sciences; National University of Uzbekistan
Uzbekistan
Uzbekistan
Z. A. Sobirov
Olimlar str., 49, 100041, Tashkent
Universitet str., 4, 100174, Tashkent
K. U. Rakhimov
National University of Uzbekistan
Uzbekistan
Uzbekistan
K. U. Rakhimov
Universitet str., 4, 100174, Tashkent
R. E. Ergashov
National University of Uzbekistan
Uzbekistan
Uzbekistan
R. E. Ergashov
Universitet str., 4, 100174, Tashkent
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Review
For citations:
Sobirov Z.A., Rakhimov K.U., Ergashov R.E. Green’s function method for time-fractional diffusion equation on the star graph with equal bonds. Nanosystems: Physics, Chemistry, Mathematics. 2021;12(3):271-278. https://doi.org/10.17586/2220-8054-2021-12-3-271-278
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