Relations between fractional models with three-parameter Mittag-Leffler kernels

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dc.contributor.authorFernandez, Arran
dc.contributor.authorAbdeljawad, Thabet
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2026-02-06T18:53:04Z
dc.date.issued2020
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractWe consider two models of fractional calculus which are defined using three-parameter Mittag-Leffler functions: the Prabhakar definition and a recently defined extension of the Atangana-Baleanu definition. By examining the relationships between the two, we are able to find some new properties of both, as well as of the original Atangana-Baleanu model and its iterated form.
dc.description.sponsorshipPrince Sultan University [RG-DES-2017-01-17]
dc.description.sponsorshipThe second author would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17.
dc.identifier.doi10.1186/s13662-020-02638-5
dc.identifier.issn1687-1847
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85084001613
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://doi.org/10.1186/s13662-020-02638-5
dc.identifier.urihttps://hdl.handle.net/11129/15827
dc.identifier.volume2020
dc.identifier.wosWOS:000531382700005
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofAdvances in Difference Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectFractional calculus
dc.subjectMittag-Leffler functions
dc.subjectAtangana-Baleanu fractional calculus
dc.subjectPrabhakar fractional calculus
dc.titleRelations between fractional models with three-parameter Mittag-Leffler kernels
dc.typeArticle

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