On solvability of a boundary value problem for the Poisson equation with the boundary operator of a fractional order

DOI10.1186/1687-2770-2013-93zbMath1295.35211OpenAlexW2117105973WikidataQ59292823 ScholiaQ59292823MaRDI QIDQ2017331

Berikbol T. Torebek, Batirkhan Kh. Turmetov

Publication date: 25 June 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-93

zbMATH Keywords

solvabilityboundary value problemPoisson equationfractional derivativeRiemann-Liouville operatorCaputo operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fractional derivatives and integrals (26A33) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

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 ⋮ On solvability of the Neumann boundary value problem for a non-homogeneous polyharmonic equation in a ball ⋮ About solvability of some boundary value problems for poisson equation in the ball

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