Inverse problem for an inhomogeneous fractional equation with the quadrat of pseudoparabolic operator
Yuldashev T.K. Mamedov K.R. Kosmakova M.T. Matchanova A.A.
December 2025Baku Engineering University
Journal of Contemporary Applied Mathematics
2025#15Issue 2159 - 175 pp.
In this paper the issues of unique solvability and construction of a solution of an inverse boundary value problem for an inhomogeneous differential equation containing a quadrat of Hilfer fractional analogue of the pseudoparabolic operator are studied. The spectral problem is studied, eigenvalues and eigenfunctions are found. The solution of the direct and inverse boundary value problems are obtained in the form of Fourier series. Sufficient coefficient conditions for unique solvability of these problems are established. Theorems on absolute and uniform convergence of Fourier series are proved.
absolute and uniform convergence of Fourier series , Boundary value problem , Hilfer fractional differential equation , inverse problem , quadrat of the pseudoparabolic operator , unique solvability
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Tashkent State Transport University, Alley Temiryulchilar 1, Tashkent, Uzbekistan
Osh State University, Osh, Kyrgyzstan
İgdir university, İgdir, Turkey
Karaganda Buketov University, Universitet Street, 28, Karaganda, 100028, Kazakhstan
Tashkent University of Information Technology, Tashkent, Uzbekistan
Tashkent State Transport University
Osh State University
İgdir university
Karaganda Buketov University
Tashkent University of Information Technology
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