{
  "abstract": "In this article, we consider an initial-value problem for a linear ordinary differential equation with multi-term time fractional derivatives with relaxation factors, which make the current work differently from existing studies in the literature. We establish the unique existence and the stability of the solution to the problem within the framework of suitable Sobolev spaces. Moreover, we present an improved regularity result for the solution. Our treatment is based on the operator theory in Sobolev spaces.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics, Faculty of Science, Zonguldak Bülent Ecevit University, Zonguldak 67100, Türkiye",
    "Graduate School of Natural and Applied Sciences, Zonguldak Bülent Ecevit University, Zonguldak 67100, Türkiye",
    "Department of Mathematical Sciences, The University of Tokyo, Tokyo 153-8914, Japan"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Fikret Gölgeleyen",
      "orcid": "0000-0002-8059-2194"
    },
    {
      "affs": [
        1
      ],
      "name": "Seher Seda Sarıköse Bayram"
    },
    {
      "affs": [
        0,
        2
      ],
      "name": "Masahiro Yamamoto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/108sfy8h60yzd.bib",
  "cited_by": 0,
  "doi": "10.3390/fractalfract10110773",
  "fulltext_url": null,
  "id": "108sfy8h60yzd",
  "issns": [
    "2504-3110"
  ],
  "landing_url": "https://www.mdpi.com/2504-3110/10/11/773",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/108sfy8h60yzd.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T00:21:06Z",
      "native_id": "10.3390/fractalfract10110773",
      "source": "crossref",
      "url": "https://www.mdpi.com/2504-3110/10/11/773"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "issn:2504-3110",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "An Initial-Value Problem for an Ordinary Differential Equation Involving Multi-Term Time-Fractional Derivatives with Relaxation Factors",
  "title_text": "An Initial-Value Problem for an Ordinary Differential Equation Involving Multi-Term Time-Fractional Derivatives with Relaxation Factors",
  "type": "peer-reviewed",
  "updated_at": "2026-11-07T00:21:05Z",
  "url": "https://research.draconitic.com/paper/108sfy8h60yzd",
  "venue": "Fractal and Fractional",
  "versions": []
}