{
  "abstract": "In this paper, we investigate a class of magnetizable piezoelectric beam systems with two fractional infinite memory terms, whose fractional orders are denoted by \\(θ_1, θ_2 \\in [0,1]\\). By introducing the Dafermos history variable, we construct an augmented state space and reformulate the system as an abstract evolution equation. The well-posedness of the system is established via semigroup theory. Through a frequency-domain analysis, we characterize the asymptotic behavior of the solutions. We show that the system is exponentially stable if \\(θ_1 = θ_2 = 1\\), and is polynomially stable in all other cases, with the explicit decay rate \\(t^{-\\frac{1}{2-2θ_0}}\\), where \\(θ_0 = \\min\\{θ_1, θ_2\\}\\). Furthermore, the optimality of the obtained decay rate is verified.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.06049",
  "author_total": 2,
  "authors": [
    {
      "name": "Jun Zhou"
    },
    {
      "name": "Linfeng Duan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3pze9qa1rvnc4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.06049",
  "fulltext_url": null,
  "id": "3pze9qa1rvnc4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.06049",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2207|Stability and Controllability of Differential Equations"
    ]
  ],
  "openalex": "W7212080718",
  "pdf_url": "https://arxiv.org/pdf/2609.06049",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3pze9qa1rvnc4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.06049",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.06049"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Stability of Magnetizable Piezoelectric Beam Systems with Two Fractional Infinite Memory Terms",
  "title_text": "Stability of Magnetizable Piezoelectric Beam Systems with Two Fractional Infinite Memory Terms",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/3pze9qa1rvnc4",
  "venue": "arXiv",
  "versions": []
}