On a nonlocal problem for the Laplace equation in the unit ball with fractional boundary conditions

DOI10.1002/MMA.3554zbMath1344.35011OpenAlexW2183905159MaRDI QIDQ2800522

Berikbol T. Torebek, Mukhtar Bin Muhammad Kirane

Publication date: 15 April 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3554

zbMATH Keywords

Laplace equationnonlocal problemfractional operatorBitsadze-Samarskii problemfractional boundary conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fractional derivatives and integrals (26A33) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (5)

On fractional analogs of Dirichlet and Neumann problems for the Laplace equation ⋮ Solvability of nonlocal Dirichlet problem for generalized Helmholtz equation in a unit ball ⋮ Solvability of a Nonlocal Boundary Value Problem Involving Fractional Derivative Operators ⋮ On Solvability of Some Boundary Value Problems with Involution for the Biharmonic Equation ⋮ About solvability of some boundary value problems for poisson equation in the ball

Cites Work

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• Solvability of an elliptic partial differential equation with boundary condition involving fractional derivatives
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