A fractional version of the recursive tau method for solving a general class of Abel-Volterra integral equations systems

DOI10.1007/S13540-022-00070-YzbMath1503.65324OpenAlexW4289522528WikidataQ114016968 ScholiaQ114016968MaRDI QIDQ2110541

A. Faghih, Younes Talaei, Sedaghat Shahmorad, Payam Mokhtary

Publication date: 21 December 2022

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

Full work available at URL: https://doi.org/10.1007/s13540-022-00070-y

zbMATH Keywords

convergence analysisMüntz-Legendre polynomialsAbel-Volterra integral equationsrecursive approachfractional vector canonical polynomials

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05)

Related Items (2)

Numerical solution of fractional order Fredholm integro-differential equations by spectral method with fractional basis functions ⋮ An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extrapolation method for solving weakly singular nonlinear Volterra integral equations of the second kind
• A parallel algorithm for large systems of Volterra integral equations of Abel type
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Abel integral equations. Analysis and applications
• A new fractional collocation method for a system of multi-order fractional differential equations with variable coefficients
• A new recursive formulation of the Tau method for solving linear Abel-Volterra integral equations and its application to fractional differential equations
• The Müntz-Legendre tau method for fractional differential equations
• An efficient formulation of Chebyshev tau method for constant coefficients systems of multi-order FDEs
• Numerical solution of a class of fractional order integro-differential algebraic equations using Müntz-Jacobi tau method
• New fractional Lanczos vector polynomials and their application to system of Abel-Volterra integral equations and fractional differential equations
• Numerical solution of singular Volterra integral equations system of convolution type by using operational matrices
• Continuous and discrete time waveform relaxation methods for Volterra integral equations with weakly singular kernels
• Spectral Methods
• An Extension of Ortiz' Recursive Formulation of the Tau Method to Certain Linear Systems of Ordinary Differential Equations
• Mathematical Models in Population Biology and Epidemiology
• Müntz--Galerkin Methods and Applications to Mixed Dirichlet--Neumann Boundary Value Problems
• Numerical Solution of Systems of Ordinary Differential Equations with the Tau Method: An Error Analysis
• A BLOCK BY BLOCK METHOD FOR SOLVING SYSTEM OF VOLTERRA INTEGRAL EQUATIONS WITH CONTINUOUS AND ABEL KERNELS
• The Tau Method
• Iterated solutions of linear operator equations with the Tau method
• Contributions to the theory of heat transfer through a laminar boundary layer

This page was built for publication: A fractional version of the recursive tau method for solving a general class of Abel-Volterra integral equations systems