Research paper on a 3d-hypersingular equation of a problem for a crack

DOI10.2478/S13540-011-0003-YzbMath1273.74099OpenAlexW1999270113MaRDI QIDQ2853344

Stefan G. Samko

Publication date: 21 October 2013

Published in: Fractional Calculus and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s13540-011-0003-y

zbMATH Keywords

diffractionfractional operatorhypersingular integrals

Mathematics Subject Classification ID

Brittle fracture (74R10) Diffraction, scattering (78A45) Explicit solutions of equilibrium problems in solid mechanics (74G05) Integral equations with kernels of Cauchy type (45E05)

Related Items (1)

Professor Stefan G. Samko research: a decade retrospective

Cites Work

• One-dimensional representation, inversion, and certain properties of the Riesz potentials of radial functions
• Fractional integrals and weakly singular integral equations of the first kind in the \(n\)-dimensional ball
• On direct numerical treatment of hypersingular integral equations arising in mechanics and acoustics
• An integral equation encountered in the problem of a rigid foundation bearing on nonhomogeneous soil
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