In this article, we consider a class of nonlocal problems for the Laplace equation with
boundary operators of fractional order. We prove the existence, uniqueness and a …

In this work the Neumann boundary value problem for a non-homogeneous polyharmonic
equation is studied in a unit ball. Necessary and sufficient conditions for solvability of this …

In this article we study properties of some integro-differential operators of fractional order. As
an application of the properties of these operators for Poisson equation we examine …

In this paper, we investigate the correct solvability for the Laplace equation with a nonlocal
boundary condition in the unit ball. The considered boundary operator is of fractional order …

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

In this article we study the solvability of some boundary value problems for inhomogenous
biharmobic equations. As a boundary operator we consider the differentiation operator of …

In the present work, we study properties of some integro-differential operators of the
Hadamard-Marchaud type in the class of harmonic functions. As an application of these …

In this work, we investigate the solvability of the boundary value problem for the Poisson
equation, involving a generalized Riemann-Liouville and the Caputo derivative of fractional …

In the paper we study questions about solvability of some boundary value problems for a
non-homogenous poly-harmonic equation. As a boundary operator we consider …

In this paper, we study boundary value problems for the higher-order generalized mixed-
parabolic equation with fractional derivatives in sense of Caputo. Existence of the unique …