Relations between fractional models with three-parameter Mittag-Leffler kernels
Date
2020
Authors
Fernandez, Arran
Abdeljawad, Thabet
Baleanu, Dumitru
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Abstract
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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Fractional Calculus, Mittag-Leffler Functions, Atangana-Baleanu Fractional Calculus, Prabhakar Fractional Calculus
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Citation
Fernandez, Arran; Abdeljawad, Thabet; Baleanu, Dumitru (2020). "Relations between fractional models with three-parameter Mittag-Leffler kernels", Advances in Difference Equations, Vol. 2020, No. 1.
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Source
Advances in Difference Equations
Volume
2020
Issue
1