We consider an inverse problem for diffusion equation involving fractional Laplacian
operator in space and Hilfer fractional derivatives in time with Dirichlet zero boundary …

Direct and two inverse problems for a Legendre equation involving integral convolution in
time are studied. The inverse problems are ill-posed in the sense of Hadamard. The …

A diffusion equation involving integral convolution in time variable with arbitrary kernel and
nonlocal boundary conditions is considered. The existence and uniqueness results for two …

This paper delves into both direct and two inverse source problems associated with a
diffusion equation featuring integral convolution over time, while considering non-classical …

We aim to prove a unique solvability of a boundary-value problem with Dirichlet conditions
for the Hallaire–Luikov moisture transfer equation involving generalized fractional derivative …

The direct and two inverse problems defined for an integro-differential equation on a
bounded domain have been considered. The spectral problem of the integro-differential …

In our thesis we consider:• pseudo-differential operators generated by the Dunkl operator;•
inverse source problem for Dunkl-heat equation with the Caputo fractional derivative;• …

The relevance of the research topic. In this dissertation, we investigate pseudo-differential
operators generated by the Dunkl operators and consider inverse source problems for the …