Article

Inverse source problem for the subdiffusion equation with edge-dependent order of time-fractional derivative on the metric star graph

Z. A. SobirovNational University of Uzbekistan; V. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of ScienceA. A. TuremuratovaNational University of Uzbekistan; Branch of Russian Economic University named after G. V. Plekhanov in Tashken

Nanosystems Physics Chemistry Mathematicsjournal2024en

ABI

Abstract

The paper discusses the inverse source problem for the subdiffusion equation in the Sobolev space. The direct and inverse problems are transformed into operator equations to derive solutions. The uniqueness and existence of a strong solution to the direct problem are proven. The inverse problem is reduced to an operator equation, and the well-definedness and continuity of the corresponding resolvent operator are proven.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Numerical methods in engineering

Identifiers

DOI: 10.17586/2220-8054-2024-15-5-586-596

Citations and references

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