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

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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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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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Advances in Difference Equations

Volume

2020

Issue

1

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