Inverse source problem for the subdiffusion equation with edge-dependent order of time-fractional derivative on the metric star graph
https://doi.org/10.17586/2220-8054-2024-15-5-586-596
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.
About the Authors
Zarifboy A Sobirov
National University of Uzbekistan; V. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Science
Uzbekistan
Uzbekistan
Zarifboy A. Sobirov
Universitet str., 4, 100174, Tashkent; 100174, Tashkent
Ariukhan A. Turemuratova
National University of Uzbekistan; Branch of Russian Economic University named after G. V. Plekhanov in Tashken
Uzbekistan
Uzbekistan
Ariukhan A. Turemuratova
Universitet str., 4, 100174, Tashkent; 100164, Tashkent
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Review
For citations:
Sobirov Z.A., Turemuratova A.A. Inverse source problem for the subdiffusion equation with edge-dependent order of time-fractional derivative on the metric star graph. Nanosystems: Physics, Chemistry, Mathematics. 2024;15(5):586-596. https://doi.org/10.17586/2220-8054-2024-15-5-586-596
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