{
  "abstract": "This paper develops the distributional theory of the two-sided Fourier–Kontorovich–Lebedev (FKF) transform, a hybrid integral transform that combines the Fourier kernel in the temporal variable with the Macdonald (modified Bessel) kernel of imaginary order in a positive scale variable. The transform is extended to a broad class of generalized functions via a carefully constructed test-function space of Gelfand–Shilov type. Central attention is given to the spectral differential property associated with the modified-Bessel operator, which converts differential action in the positive variable into multiplication by −q² in the spectral domain. The property is expanded with higher-order operators, mixed Fourier–KL rules, and solution formulae for model linear PDEs. Applications of the FKF spectral differential property to supply-chain systems are developed in detail: multi-scale inventory dynamics, disruption-intensity resilience analysis, digital-twin spectral monitoring, and discrete numerical implementation for operational data. The framework is positioned within recent advances in intelligent logistics, digital twins, quantum-inspired optimization, and supply-chain resilience. Concrete recommendations for research and practice, together with a recommended computational form for discrete and noisy data, conclude the work.",
  "abstract_shown": true,
  "affiliations": [
    "PTC Software Inc"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Akarshan Gulhane"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bmf5thkqxmcp1.bib",
  "cited_by": 49,
  "doi": "10.55041/ijcope.v2i8.139",
  "fulltext_url": null,
  "id": "bmf5thkqxmcp1",
  "issns": [
    "3108-1754"
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  "landing_url": "https://doi.org/10.55041/ijcope.v2i8.139",
  "language": "en",
  "licence": "CC-BY-NC",
  "licence_label": "CC BY-NC",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by-nc/4.0/",
  "metadata_licence": null,
  "native_subjects": [
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      "openalex",
      "2604|Mathematical Analysis and Transform Methods"
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  "pdf_url": "https://ijcope.org/wp-content/uploads/2026/08/Spectral-Differential-Properties-of-the-Distributional-FKF-Transform-withApplications-to-Resilient-Supply-Chain-Systems.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bmf5thkqxmcp1.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T13:20:40Z",
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      "url": "https://doi.org/10.55041/ijcope.v2i8.139"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Mathematical Analysis and Transform Methods",
      "subfield": "general"
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  ],
  "title": "Spectral Differential Properties of the Distributional FKF Transform with Applications to Resilient Supply-Chain Systems",
  "title_text": "Spectral Differential Properties of the Distributional FKF Transform with Applications to Resilient Supply-Chain Systems",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T13:20:59Z",
  "url": "https://research.draconitic.com/paper/bmf5thkqxmcp1",
  "venue": "International Journal of Creative and Open Research in Engineering and Management",
  "versions": []
}