Framework for Solving Fractional Stochastic Integral-Differential Equations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908387650830336 |
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| author | Birgani, O. T. Peters, J. F. Kouhkani, S. |
| author_facet | Birgani, O. T. Peters, J. F. Kouhkani, S. |
| contents | This article introduces a framework for measuring the uncertain behaviour of a changing system in terms of the solution of a class of fractional stochastic differential equations (fsDEs). This is accomplished via operational matrices based on 2-dimensional shifted Legendre polynomials. By using operational matrices, an fsDE is converted into a matrix form and the numerical solution of the represented motion system is then found. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00017 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Framework for Solving Fractional Stochastic Integral-Differential Equations Birgani, O. T. Peters, J. F. Kouhkani, S. General Mathematics This article introduces a framework for measuring the uncertain behaviour of a changing system in terms of the solution of a class of fractional stochastic differential equations (fsDEs). This is accomplished via operational matrices based on 2-dimensional shifted Legendre polynomials. By using operational matrices, an fsDE is converted into a matrix form and the numerical solution of the represented motion system is then found. |
| title | Framework for Solving Fractional Stochastic Integral-Differential Equations |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2506.00017 |