Applications of generalized formable transform with ?-Hilfer-Prabhakar derivatives

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dc.authoridKHALID, MOHD/0000-0002-6408-0391
dc.contributor.authorKhalid, Mohd
dc.contributor.authorMallah, Ishfaq Ahmad
dc.contributor.authorAkgul, Ali
dc.contributor.authorAlha, Subhash
dc.contributor.authorSakar, Necibullah
dc.date.accessioned2024-12-24T19:25:05Z
dc.date.available2024-12-24T19:25:05Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThis paper introduces the Psi-formable integral transform, discusses the several essential properties and results-Convolution, Psi-formable transform of tth derivative, Psi-Riemann Liouville fractional integration and differentiation, Psi-Caputo fractional differentiation, Psi-Hilfer fractional differentiation, Psi-Prabhakar fractional integration and differentiation, and Psi-Hilfer-Prabhakar fractional derivatives. Next, we use the Fourier integral and Psi-Modifiable conversions to solve some Cauchy-type fractional differential equations using the generalized three-parameter Mittag-Leffler function and Psi-Hilfer-Prabhakar fractional derivatives
dc.identifier.doi10.1007/s40314-024-02930-0
dc.identifier.issn2238-3603
dc.identifier.issn1807-0302
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85204302229
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s40314-024-02930-0
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6256
dc.identifier.volume43
dc.identifier.wosWOS:001314718700003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Heidelberg
dc.relation.ispartofComputational & Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectPsi-Prabhakar integral
dc.subjectPsi-Formable transform
dc.subjectPsi-Hilfer Prabhakar derivatives
dc.subjectMittag-Leffler function
dc.titleApplications of generalized formable transform with ?-Hilfer-Prabhakar derivatives
dc.typeArticle

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