arXiv subjects

Daurenbek Serikbaev

Publications and source records attributed to Daurenbek Serikbaev.

3 recordsLinked to original sources

arXiv2023

Inverse problem of determining time-dependent leading coefficient in the time-fractional heat equation

In this paper, we investigate direct and inverse problems for the time-fractional heat equation with a time-dependent leading coefficient for positive operators. First, we consider the direct problem, and the unique existence of the generalized solution is established. We also deduce some regularity results. Here, our proofs are based on the eigenfunction expansion method. Second, we study the inverse problem of determining the leading coefficient, and the well-posedness of this inverse problem is proved.

math.AP↗

arXiv2023

Heat Source Determining Inverse Problem for non-local in time equation

In this paper, we consider the inverse problem of determining the time-dependent source term in the general setting of Hilbert spaces and for general additional data. We prove the well-posedness of this inverse problem by reducing the problem to an operator equation for the source function.

math.AP↗

arXiv2020

Direct and Inverse problems for time-fractional pseudo-parabolic equations

The purpose of this paper is to establish the solvability results to direct and inverse problems for time-fractional pseudo-parabolic equations with the self-adjoint operators. We are especially interested in proving existence and uniqueness of the solutions in the abstract setting of Hilbert spaces.

math.AP↗