On some integro-differential operators in the class of harmonic functions and their applications

DOI10.3103/S1055134412020046zbMath1340.35357OpenAlexW1969607015MaRDI QIDQ2945834

Berikbol T. Torebek, Batirkhan Kh. Turmetov, Valery V. Karachik

Publication date: 14 September 2015

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134412020046

zbMATH Keywords

Laplace equationnonlocal boundary value problemRiemann-Liouville operatorCaputo operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

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On the Dirichlet-Riquier problem for biharmonic equations ⋮ On fractional analogs of Dirichlet and Neumann problems for the Laplace equation ⋮ Modified Riemann - Liouville integro-differential operators in the class of harmonic functions and their applications ⋮ On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator ⋮ On solvability of a boundary value problem for an inhomogeneous polyharmonic equation with a fractional order boundary operator ⋮ Some properties and applications of the integrodifferential operators of Hadamard-Marchaud type in the class of harmonic functions ⋮ Solvability of some boundary-value problems for polyharmonic equation with Hadamard-Marchaud boundary operator ⋮ On a nonlocal problem for the Laplace equation in the unit ball with fractional boundary conditions ⋮ Modified Bavrin operators and their applications

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