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Relations between fractional models with three-parameter Mittag-Leffler kernels
Journal article   Open access  Peer reviewed

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

Arran Fernandez, Thabet Abdeljawad and Dumitru Baleanu
Advances in difference equations, Vol.2020(1), pp.1-13
28/04/2020
DOI: https://doi.org/10.1186/s13662-020-02638-5

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We 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.
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https://doi.org/10.1186/s13662-020-02638-5View
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