Inverse Problem for Fractional Order Subdiffusion Equation
Year: 2026
Type: article
Abstract: This paper is devoted to an inverse source problem for a time–fractional Subdiffusion equation with the Caputo derivative in a Hilbert space. The elliptic part of the equation is represented by a self-adjoint positive operator with a discrete spectrum. The right-hand side has the separated form , where the function is known, while the element must be determined. As additional information, we employ the general weighted integral condition where is a given scalar function and is prescribed. A criterion for the uniqueness of a solution to the inverse problem is found. MSC (2020): Primary 35R11; Secondary 34A12.
Authors: Marjona Shakarova, Zulayho Bebutova, Fotima Madatova
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Award: G2436033311
OpenAlex ID: W4386694423