D. Durdiev

Recovering the reaction coefficient in a time-fractional diffusion equation with variable coefficients in any spatial dimension

We explore the inverse problem of determining the reaction coefficient $q(x',t)$ in the time-fractional diffusion equation ${}^CD_t u-Lu+q(x',t)u=f$ in $\mathbb{R}^n\times(0,T]$, $x=(x',x_n)$, $0<\alpha<1$, from the trace of the solution on the hyperplane $\{x_n=0\}$. Here ${}^CD_t$ is the Gerasimov--Caputo derivative...

Inverse Problem for a Multidimensional Integro-Differential Parabolic Equation with Nonlocal Initial and Boundary Conditions

An Inverse Problem for Determining a Time-Dependent Coefficient in a Fourth-Order Fractional Equation with the Caputo Derivative

This paper investigates a direct problem and an inverse coefficient problem for a fourth-order fractional differential equation with the Caputo time derivative in a rectangular domain. The inverse problem consists of recovering an unknown time-dependent coefficient from an additional pointwise observation of the soluti...