On a New Definition of Fractional Differintegrals with Mittag-Leffler Kernel

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dc.contributor.authorFernandez, Arran
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2026-02-06T18:26:58Z
dc.date.issued2019
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractWe introduce a new family of fractional differential and integral operators which emerge from a fractional iteration process applied to some existing fractional operators with Mittag-Leffler kernels. We analyse the new operators and prove various facts about them, including a semigroup property. We also solve some ODEs in this new model by using Laplace transforms, and discuss applications of our results.
dc.description.sponsorshipEngineering and Physical Sciences Research Council, UK; Engineering and Physical Sciences Research Council [1479943] Funding Source: researchfish
dc.description.sponsorshipThe first author acknowledges the support of the Engineering and Physical Sciences Research Council, UK.
dc.identifier.doi10.2298/FIL1901245F
dc.identifier.endpage254
dc.identifier.issn0354-5180
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85066752065
dc.identifier.scopusqualityQ2
dc.identifier.startpage245
dc.identifier.urihttps://doi.org/10.2298/FIL1901245F
dc.identifier.urihttps://hdl.handle.net/11129/10729
dc.identifier.volume33
dc.identifier.wosWOS:000464503300019
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Nis, Fac Sci Math
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectfractional calculus
dc.subjectsemigroup property
dc.subjectMittag-Leffler function
dc.titleOn a New Definition of Fractional Differintegrals with Mittag-Leffler Kernel
dc.typeArticle

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