Inverse source problem for multi-term time-fractional diffusion equation with nonlocal boundary conditions
Derbissaly B. Sadybekov M.
2024American Institute of Mathematical Sciences
AIMS Mathematics
2024#9Issue 49969 - 9988 pp.
In this paper, we consider an inverse source problem with nonlocal boundary conditions for the heat equation involving multi-term time-fractional derivatives. We determine a source term independent of the space variable, and the temperature distribution from the energy measurement. We reduce the solution of the inverse problem to finding solutions to two problems. The well-posedness of each problem is shown using the generalized Fourier method.
Fourier series , fractional diffusion equation , inverse source problem , multinomial Mittag-Lefler function , nonlocal boundary condition
Text of the article Перейти на текст статьи
Department of differential equations, Institute of Mathematics and Mathematical Modeling, 125 Pushkin Street, Almaty, 050010, Kazakhstan
Department of differential equations
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026