Fernandez, ArranAbdeljawad, ThabetBaleanu, Dumitru2021-01-282021-01-282020Fernandez, Arran; Abdeljawad, Thabet; Baleanu, Dumitru (2020). "Relations between fractional models with three-parameter Mittag-Leffler kernels", Advances in Difference Equations, Vol. 2020, No. 1.1687-1847http://hdl.handle.net/20.500.12416/4484We 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.info:eu-repo/semantics/openAccessFractional CalculusMittag-Leffler FunctionsAtangana-Baleanu Fractional CalculusPrabhakar Fractional CalculusArticle2020110.1186/s13662-020-02638-5