Solvability issues of four boundary value problems for a nonlocal biharmonic equation in the
unit ball are investigated. Dirichlet, Neumann, Navier and Riquier–Neumann boundary …

We study the eigenfunctions and eigenvalues of the boundary value problem for the
nonlocal Laplace equation with multiple involution. An explicit form of the eigenfunctions …

In this paper, a nonlocal problem of the Bitsadze–Samarskii type for a parabolic-hyperbolic
equation with the Gerasimov–Caputo operator is studied. The spectral method is used to …

A nonlocal analogue of the biharmonic operator with involution-type transformations was
considered. For the corresponding biharmonic equation with involution, we investigated the …

In this paper, we study the solvability of a new class of nonlocal boundary value problems for
the generalized Helmholtz equation in the unit ball. These problems are a generalization of …

A biharmonic problem with mixed Steklov-type and Neumann conditions on the boundary in
the exterior of a compact set is considered under the assumption that the generalized …

In this paper, we consider nonlocal boundary value problems for the Laplace operator in a
ball, which are a multidimensional generalisation of the Samarskii–Ionkin problem. The well …

In this paper, in the class of smooth functions, integration and differentiation operators
connected with fractional conformable derivatives are introduced. The mutual reversibility of …

We consider a nonlocal inverse problem of Bitsadze–Samarskii type for a degenerate
fractional order parabolic equation with the Gerasimov–Caputo operator in two spatial …

In this paper, we consider a biharmonic problem with Steklov-type boundary conditions on
one part of the boundary and with the Farwig condition on the other part. For this problem …