Justification of a Galerkin method for a fractional order Cauchy singular integro-differential equation

DOI10.1134/s0965542524701203MaRDI QIDQ6654904

A. I. Fedotov

Publication date: 20 December 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Galerkin methodfractional derivativesingular integro-differential equations

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Cites Work

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• Sharp estimates for the polynomial approximation in weighted Sobolev spaces
• The development of fractional calculus 1695-1900
• A new definition of fractional derivative
• Justification of the Galerkin method for one class of singular integro-differential equations on an interval
• Substantiation of a quadrature-difference method for solving integro-differential equations with derivatives of variable order
• Justification of a Galerkin method for a regularized Cauchy singular integro-differential equation
• A Galerkin solution to a regularized Cauchy singular integro-differential equation
• Justification of Galerkin and collocations methods for one class of singular integro-differential equations on interval
• Integro-differential equation with Cauchy kernel

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