{
  "abstract": "‎Basic vector differential operators‎, ‎such as gradient‎, ‎divergence‎, ‎Laplacian‎, ‎and curl operators‎, ‎are generalized and developed in elliptical coordinate systems in fractional space‎. ‎The equation of Helmholtz in fractional space in an elliptical coordinate system is modified and solved in this coordinate and space for the investigation of wave propagation in the mentioned configuration‎. The general solutions of the scalar wave equation in fractional space in the elliptical coordinate system are obtained regarding the confluent Heun function‎. ‎In terms of longitudinal electromagnetic field components in elliptical coordinate systems in fractional space‎, ‎transverse electromagnetic field components are obtained‎. ‎The electric and magnetic fields in elliptical coordinates systems in fractional space are developed in terms of‎ ‎vector potentials‎, ‎and so TE and TM modes are investigated‎. ‎For all cases studied‎, ‎when the dimension is assumed to be an integer‎, ‎the classical results are rewritten to validate the results‎.",
  "abstract_shown": true,
  "affiliations": [
    "‎Faculty of Physics, ‎University of Kashan, ‎Kashan‎, ‎I‎. ‎R‎. ‎Iran"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Rita Faeghi"
    },
    {
      "affs": [
        0
      ],
      "name": "Reza Ramezani Arani"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/az9kgvvz7t9wc.bib",
  "cited_by": 0,
  "doi": "10.22052/mir.2025.256963.1521",
  "fulltext_url": null,
  "id": "az9kgvvz7t9wc",
  "issns": [
    "2476-4965"
  ],
  "landing_url": "https://doi.org/10.22052/mir.2025.256963.1521",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "lcc",
      "QA1-939"
    ],
    [
      "openalex",
      "2611|Fractional Differential Equations Solutions"
    ]
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  "openalex": "W7223667566",
  "pdf_url": "https://mir.kashanu.ac.ir/article_115557_c849c59467eac7cfa7e90e9bebc01717.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": "University of Kashan",
  "ris": "https://research.draconitic.com/paper/az9kgvvz7t9wc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T13:44:39Z",
      "native_id": "106bfdde8f334551a83616380aea97ef",
      "source": "doaj",
      "url": "https://doi.org/10.22052/mir.2025.256963.1521"
    }
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2611|Fractional Differential Equations Solutions",
      "subfield": "general"
    }
  ],
  "title": "Investigation of Electromagnetic Wave Propagation in‎ ‎Fractional‎ Space‎ ‎in ‎Elliptical‎‎ Coordinates System and its Application in Elliptical Waveguide",
  "title_text": "Investigation of Electromagnetic Wave Propagation in‎ ‎Fractional‎ Space‎ ‎in ‎Elliptical‎‎ Coordinates System and its Application in Elliptical Waveguide",
  "type": "peer-reviewed",
  "updated_at": "2026-10-31T14:20:21Z",
  "url": "https://research.draconitic.com/paper/az9kgvvz7t9wc",
  "venue": "Mathematics Interdisciplinary Research",
  "versions": []
}