Maqola

Direct and inverse source problem for 2D Landau Hamiltonian operator

Bakhodirjon ToshtemirovKokand University , Kokand 150701 ; and IT Park University, Tashkent , Uzbekistan ; and Ghent University, Ghent, 9000, Belgium

Georgian Mathematical Journaljournal2023en

ABI

Annotatsiya

Abstract In the present paper, the unique solvability of the direct and inverse source problems for the pseudo-parabolic equation involving the bi-ordinal Hilfer fractional derivative and 2D Landau Hamiltonian operator is considered. Applying the Fourier analysis for the operator Landau Hamiltonian, the theorems of uniqueness and existence of solutions to direct and inverse source problems are proved. In the investigation of the inverse source problem, we have used the value of unknown function at the final time in order to find the right-hand side of the equation. It is also presented the stability result of the inverse problem.

Mavzular

Numerical methods in inverse problems Differential Equations and Boundary Problems Numerical methods in engineering

Identifikatorlar

DOI: 10.1515/gmj-2023-2059

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