Fractional calculus containing certain bivariate Mittag-Leffler kernel with respect to function

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dc.contributor.authorOzarslan, Mehmet Ali
dc.contributor.authorKurt, Cemaliye
dc.date.accessioned2026-02-06T18:26:28Z
dc.date.issued2025
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIn the present study, we introduce a general integral operator containing bivariate Mittag-Leffler (M-L) kernel with respect to a function tau ( z ) \tau \left(z) . This general family includes the usual, Hadamard, Katugampola, Erd & eacute;lyi-Kober, and Tempered versions for specific choices of the function tau ( z ) \tau \left(z) . We investigate the main properties of the general family by using series representation and conjugation relation.
dc.identifier.doi10.1515/dema-2025-0156
dc.identifier.issn0420-1213
dc.identifier.issn2391-4661
dc.identifier.issue1
dc.identifier.scopus2-s2.0-105020908076
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1515/dema-2025-0156
dc.identifier.urihttps://hdl.handle.net/11129/10481
dc.identifier.volume58
dc.identifier.wosWOS:001599458600001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherDe Gruyter Poland Sp Z O O
dc.relation.ispartofDemonstratio Mathematica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectbivariate M-L function
dc.subjectbivariate fractional calculus
dc.subjectfractional calculus with respect to functions
dc.subjectintegral transforms
dc.titleFractional calculus containing certain bivariate Mittag-Leffler kernel with respect to function
dc.typeArticle

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