Fuzzy Volterra Integral Equation with Piecewise Continuous Kernel: Theory and Numerical Solution

Samad Noeiaghdam; Aliona I. Dreglea; Denis N. Sidorov

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arXiv · 2401.08644

Fuzzy Volterra Integral Equation with Piecewise Continuous Kernel: Theory and Numerical Solution

Samad Noeiaghdam·Aliona I. Dreglea·Denis N. Sidorov

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Abstract

This study aims to discuss the existence and uniqueness of solution of fuzzy Volterra integral equation with piecewise continuous kernel. Such problems appears in many balance problems for hereditary dynamic systems, e.g. in electric load leveling. The method of successive approximations is applied and the main theorems are proved based on the method. Some examples are discussed and the results are presented for different values of $\mu$ by plotting several graphs.

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Samad Noeiaghdam, Aliona I. Dreglea, Denis N. Sidorov. 2023-12-16. Fuzzy Volterra Integral Equation with Piecewise Continuous Kernel: Theory and Numerical Solution. https://arxiv.org/abs/2401.08644

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