An iterative numerical method for fractional integral equations of the second kind

DOI10.1016/j.cam.2017.12.006zbMath1464.65291OpenAlexW2775044746MaRDI QIDQ1748166

Sanda Micula

Publication date: 9 May 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.12.006

zbMATH Keywords

product integrationnumerical approximationPicard iterationAbel integral equationsfixed-point theoryfractional integral equations

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) Volterra integral equations (45D05)

Related Items (13)

A mean-value approach to solve fractional differential and integral equations ⋮ THEORETICAL AND COMPUTATIONAL RESULTS FOR MIXED TYPE VOLTERRA–FREDHOLM FRACTIONAL INTEGRAL EQUATIONS ⋮ A novel method for linear and nonlinear fractional Volterra integral equations via cubic hat functions ⋮ An existence result with numerical solution of nonlinear fractional integral equations ⋮ Iterative Bernstein splines technique applied to fractional order differential equations ⋮ Existence and approximate solutions for Hadamard fractional integral equations in a Banach space ⋮ Iterative Processes and Integral Equations of the Second Kind ⋮ Numerical analysis of fractional Volterra integral equations via Bernstein approximation method ⋮ A new recursive formulation of the Tau method for solving linear Abel-Volterra integral equations and its application to fractional differential equations ⋮ Numerical techniques for solving linear Volterra fractional integral equation ⋮ Existence results and continuity dependence of solutions for fractional equations ⋮ Bernstein polynomials based iterative method for solving fractional integral equations ⋮ Hybrid Operators for Approximating Nonsmooth Functions and Applications on Volterra Integral Equations with Weakly Singular Kernels

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• The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
• The Numerical Solution of an Abel Integral Equation by a Product Trapezoidal Method

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