On solvability of a boundary value problem for the Poisson equation with the boundary operator of a fractional order. (English) Zbl 1295.35211
The paper is devoted to the study of a boundary value problem for the Poisson equation (on the unit ball) subjected to boundary conditions of fractional order. The solvability of the problem is characterized and a concrete example is exhibited.
Reviewer: Luis Filipe Pinheiro de Castro (Aveiro)
MSC:
| 35J25 | Boundary value problems for second-order elliptic equations |
| 35J05 | Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation |
| 26A33 | Fractional derivatives and integrals |
Keywords:
Poisson equation; boundary value problem; fractional derivative; Riemann-Liouville operator; Caputo operator; solvabilityReferences:
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