Systems of Generalized Abel Integral Equations with Applications to Simultaneous Dual Relations

DOI10.1137/0510077zbMath0415.45003OpenAlexW2078923410MaRDI QIDQ3050934

Jay R. Walton

Publication date: 1979

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0510077

zbMATH Keywords

system of singular integral equationsRiemann-Hilbert problemsAbel equationsRiemann-Hilbert boundary value problemFractional integralsDual equationsErdelyi-Sneddon fractional integral operators

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99) Dual, triple, etc., integral and series equations (45F10)

Related Items (7)

The impact of Legendre wavelet collocation method on the solutions of nonlinear system of two-dimensional integral equations ⋮ On the theory of generalized Abel integral equations on the half-line ⋮ An efficient computational method for solving system of nonlinear generalized Abel integral equations arising in astrophysics ⋮ Solution of a system of generalized Abel integral equations using fractional calculus ⋮ Regularization of integral equations in spaces of distributions ⋮ An efficient solution of system of generalized Abel integral equations using Bernstein polynomials wavelet bases ⋮ Unnamed Item

This page was built for publication: Systems of Generalized Abel Integral Equations with Applications to Simultaneous Dual Relations