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Framework for Solving Fractional Stochastic Integral-Differential Equations

General Mathematics 2025-06-03 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2506.00017,
  title  = {Framework for Solving Fractional Stochastic Integral-Differential Equations},
  author = {O. T. Birgani and J. F. Peters and S. Kouhkani},
  journal= {arXiv preprint arXiv:2506.00017},
  year   = {2025}
}

Comments

13 pages, 4 figures

R2 v1 2026-07-01T02:51:20.794Z