Some properties and applications of the integrodifferential operators of Hadamard-Marchaud type in the class of harmonic functions

DOI10.1134/S0037446612040039zbMath1258.45009MaRDI QIDQ1760535

B. J. Kadirkulov, Batirkhan Kh. Turmetov, Abdumauvlen S. Berdyshev

Publication date: 14 November 2012

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Laplace equationintegrodifferential operatoroperators of fractional derivation in the sense of Hadamard and Hadamard-Marchaud

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Integral operators (45P05)

Related Items (9)

On boundedness of fractional Hadamard integration and Hadamard-type integration in Lebesgue spaces with mixed norm ⋮ Modified Riemann - Liouville integro-differential operators in the class of harmonic functions and their applications ⋮ Unnamed Item ⋮ On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator ⋮ Inverting of generalized Riemann - Liouville operator by means of integral Laplace transform ⋮ On solvability of a boundary value problem for an inhomogeneous polyharmonic equation with a fractional order boundary operator ⋮ Solvability of some boundary-value problems for polyharmonic equation with Hadamard-Marchaud boundary operator ⋮ On solvability of some boundary value problem for polyharmonic equation with boundary operator of a fractional order ⋮ Modified Bavrin operators and their applications

Cites Work

• Boundary value problems with integral conditions for multidimensional hyperbolic equations
• On the solvability of boundary value problems with a nonlocal boundary condition of integral form for multidimensional hyperbolic equations
• On some integro-differential operators in the class of harmonic functions and their applications
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