{
  "abstract": "This paper presents a Pell–Lucas collocation method for time-fractional partial integro-differential equations (TFPIDEs) with initial and boundary conditions, where the fractional derivative is taken in the Caputo sense. The unknown solution is approximated by a truncated bivariate Pell–Lucas series, and the governing equation together with the initial and boundary conditions is discretized at uniform collocation points. Operational matrices are employed to represent the fractional-time derivative, spatial derivatives, and Volterra integral term, thereby reducing the continuous problem to a system of algebraic equations. An upper error bound in the infinity norm and a residual-based error-estimation procedure are also discussed. Numerical examples illustrate the applicability and accuracy of the proposed approach and include comparisons with exact solutions and with results reported in the literature for alternative methods.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan 35196-45399, Iran",
    "Faculty of Finance Sciences, Kharazmi University, Tehran 15719-14911, Iran",
    "Faculty of Medicine, Sigmund Freud University, 1020 Vienna, Austria"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Javad Damirchi"
    },
    {
      "affs": [
        1
      ],
      "name": "Ahmadreza Yazdanian",
      "orcid": "0000-0002-5041-2463"
    },
    {
      "affs": [
        0
      ],
      "name": "Shohreh Mehranpour"
    },
    {
      "affs": [
        2
      ],
      "name": "Mahdi Mahmoudi",
      "orcid": "0000-0002-3520-0382"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/330qg8q0fjpdn.bib",
  "cited_by": 0,
  "doi": "10.3390/math14213983",
  "fulltext_url": null,
  "id": "330qg8q0fjpdn",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/21/3983",
  "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": "2026-11-01",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/330qg8q0fjpdn.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T00:23:28Z",
      "native_id": "10.3390/math14213983",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/21/3983"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "issn:2227-7390",
      "subfield": "general"
    }
  ],
  "title": "Pell–Lucas Collocation Method for Time-Fractional Partial Integro-Differential Equations",
  "title_text": "Pell–Lucas Collocation Method for Time-Fractional Partial Integro-Differential Equations",
  "type": "peer-reviewed",
  "updated_at": "2026-11-05T00:20:49Z",
  "url": "https://research.draconitic.com/paper/330qg8q0fjpdn",
  "venue": "Mathematics",
  "versions": []
}