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

2023/12/16 by Samad Noeiaghdam, Noeiaghdam, Samad, Aliona Dreglea +3
Mathematics · #34A07 #45D05 #45H05 #45L05 #65R20 #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #FOS: Mathematics #Fractional Differential Equations Solutions #General Mathematics (math.GM) #Nonlinear Differential Equations Analysis #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2401.08644

openalex publication_date 2023/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 μ by plotting several graphs.

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