Article

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

Z. A. SobirovNational University of Uzbekistan, Universitet str., 4, 100174, Tashkent, UzbekistanKamoladdin RakhimovNational University of Uzbekistan, Universitet str., 4, 100174, Tashkent, UzbekistanR.E. ErgashovNational University of Uzbekistan, Universitet str., 4, 100174, Tashkent, Uzbekistan

Nanosystems Physics Chemistry Mathematicsjournal2021en

ABI

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.

Topics

Fractional Differential Equations Solutions Differential Equations and Numerical Methods Matrix Theory and Algorithms

Identifiers

DOI: 10.17586/2220-8054-2021-12-3-271-278

Citations and references

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