Fractional Frontier: Navigating Cauchy-Type Equations with Formable and Fourier Transformations

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dc.authoridKHALID, MOHD/0000-0002-6408-0391
dc.contributor.authorKhalid, Mohd
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:33:56Z
dc.date.available2024-12-24T19:33:56Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThe Formable integral transform for the Hilfer-Prabhakar and Prabhakar fractional derivatives, as well as their regularised forms, are derived in this article. We solve several Cauchy-type fractional differential equations with Hilfer-Prabhakar fractional derivatives by applying the Formable integral and Fourier transformations in their entirety, including the three-parameter Mittag-Leffler function. With the help of analytical solutions and improved comprehension of complicated fractional differential equations, this work expands the use of integral transforms in fractional calculus across a range of scientific and engineering fields.
dc.description.sponsorshipThe authors are very thankful to the editor and anonymous referees for their critical comments and suggestions to improve this paper to this current form.
dc.identifier.doi10.37256/cm.5320244620
dc.identifier.endpage2708
dc.identifier.issn2705-1064
dc.identifier.issn2705-1056
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85201545281
dc.identifier.scopusqualityQ4
dc.identifier.startpage2693
dc.identifier.urihttps://doi.org/10.37256/cm.5320244620
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8332
dc.identifier.volume5
dc.identifier.wosWOS:001288459000007
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniversal Wiser Publisher
dc.relation.ispartofContemporary Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectPrabhakar integral
dc.subjectHilfer-Prabhakar derivatives
dc.subjectformable transform
dc.subjectFourier transform
dc.subjectMittag-Leffler function
dc.titleFractional Frontier: Navigating Cauchy-Type Equations with Formable and Fourier Transformations
dc.typeArticle

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