Framework for Solving Fractional Stochastic Integral-Differential Equations

Fuente: arXiv
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Autores principales: Birgani, O. T., Peters, J. F., Kouhkani, S.
Formato: Preprint
Publicado: 2025
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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