Fuzzy Volterra Integral Equation with Piecewise Continuous Kernel: Theory and Numerical Solution
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909075574358016 |
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| author | Noeiaghdam, Samad Dreglea, Aliona I. Sidorov, Denis N. |
| author_facet | Noeiaghdam, Samad Dreglea, Aliona I. Sidorov, Denis N. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08644 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fuzzy Volterra Integral Equation with Piecewise Continuous Kernel: Theory and Numerical Solution Noeiaghdam, Samad Dreglea, Aliona I. Sidorov, Denis N. General Mathematics Numerical Analysis Dynamical Systems 45D05, 45H05, 45L05, 65R20, 34A07 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. |
| title | Fuzzy Volterra Integral Equation with Piecewise Continuous Kernel: Theory and Numerical Solution |
| topic | General Mathematics Numerical Analysis Dynamical Systems 45D05, 45H05, 45L05, 65R20, 34A07 |
| url | https://arxiv.org/abs/2401.08644 |