Best approximations of solutions of fractional-integral equations with the Riemann-Liouville operator

DOI10.1134/S1995080219090026zbMath1433.65343OpenAlexW2978076502WikidataQ127216206 ScholiaQ127216206MaRDI QIDQ2287654

J. R. Agachev, A. F. Galimyanov, R. K. Gubaidullina

Publication date: 21 January 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080219090026

zbMATH Keywords

integral equationbest approximationHölder spacefractional integralalgebraic polynomial

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

• Generalized Abel inversion using extended hat functions operational matrix
• On justification of general polynomial projection method for solving periodic fractional integral equations
• Mechanical quadrature methods and their extrapolation for solving first kind Abel integral equations
• Abel integral equations. Analysis and applications
• Solving Abel's type integral equation with Mikusinski's operator of fractional order
• Numerical solution of the singular Abel integral equation by the generalized quadrature method
• Approximate solution of abel integral equation
• On Galerkin Methods for Abel-Type Integral Equations
• Product Integration for the Generalized Abel Equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item