Fuzzy Volterra integral equations with piecewise continuous kernels: theory and numerical solution

DOI10.26516/1997-7670.2024.50.36MaRDI QIDQ6663869

Denis Nikolaevich Sidorov, Samad Noeiaghdam, Alena Ivanovna Dreglya

Publication date: 15 January 2025

Published in: The Bulletin of Irkutsk State University. Series Mathematics (Search for Journal in Brave)

zbMATH Keywords

error estimationsuccessive approximationfuzzy Volterra integral equationpiecewise kernel

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05) Random integral equations (45R05)

Cites Work

• Numeric solution of Volterra integral equations of the first kind with discontinuous kernels
• Elementary fuzzy calculus
• Solution of Volterra operator-integral equations in the nonregular case by the successive approximation method
• Finding optimal results in the homotopy analysis method to solve fuzzy integral equations
• On integration of fuzzy mappings
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• Fuzzy quasi-interpolation solution for Fredholm fuzzy integral equations of second kind
• Solutions to fuzzy integral equations with arbitrary kernels
• Quadrature rules for integrals of fuzzy-number-valued functions
• Solvability of systems of Volterra integral equations of the first kind with piecewise continuous kernels
• Polynomial spline collocation method for solving weakly regular Volterra integral equations of the first kind
• Valid implementation of sinc-collocation method to solve the fuzzy Fredholm integral equation
• On the solvability of a class of Volterra operator equations of the first kind with piecewise continuous kernels
• Nonclassical linear Volterra equations of the first kind
• Solvability and Numerical Solutions of Systems of Nonlinear Volterra Integral Equations of the First Kind with Piecewise Continuous Kernels
• Advances in Fuzzy Integral and Differential Equations
• Generalized solutions of Volterra integral equations of the first kind
• Fuzzy differential equations
• Generalized solutions of Volterra integral equations of the first kind

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