In this paper, we consider a numerical scheme for a class of non-linear time delay fractional
diffusion equations with distributed order in time. This study covers the unique solvability …

We construct a finite difference scheme for the numerical solution of a first order partial
differential equation with a time delay and retardation of a state variable. Such equations are …

A numerical scheme for a class of non-linear distributed order fractional diffusion-wave
equations with fixed time-delay is considered. The focus lies on the derivation of a linearized …

We consider an inverse problem for an integro-differential parabolic equation with free
boundary. This inverse problem aims to identify the memory kernel function from a global …

A semilinear parabolic problem of second order with an unknown solely time-dependent
convolution kernel is considered. An additional given global measurement (a space integral …

In this contribution, the reconstruction of a solely time-dependent heat source is studied in
an inverse problem arising in one-dimensional thermoelasticity. The missing heat source is …

This paper deals with traveling waves of a three-component delayed disease system with
mixed diffusion. When the basic reproduction number of the corresponding spatial …

This PhD-thesis consists of two parts. In the first part, forward problems for nonlocal
superconductivity are studied. The second part concerns inverse source problems for …

A non-linear wave equation with an unknown time-convolution kernel is considered. The
missing kernel is recovered from an additional (space) integral measurement. The global in …

Advection equations with delay are appeared in the modeling of the dynamics of structured
cell populations. In this article, we construct an efficient two‐dimensional multistep …