Relations Between Fractional Models With Three-Parameter Mittag-Leffler Kernels
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Date
2020
Journal Title
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Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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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.
Description
Keywords
Fractional Calculus, Mittag-Leffler Functions, Atangana-Baleanu Fractional Calculus, Prabhakar Fractional Calculus, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Orthogonal Polynomials, Differential equation, QA1-939, FOS: Mathematics, Prabhakar fractional calculus, Anomalous Diffusion Modeling and Analysis, Extension (predicate logic), Applied Mathematics, FOS: Clinical medicine, Fractional calculus, Pure mathematics, Partial differential equation, Applied mathematics, Computer science, Programming language, Modeling and Simulation, Dentistry, Physical Sciences, Medicine, Fractional Calculus, Iterated function, Calculus (dental), Mittag-Leffler functions, Mathematics, Ordinary differential equation, Atangana–Baleanu fractional calculus, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Atangana-Baleanu fractional calculus, Fractional ordinary differential equations, fractional calculus, Mittag-Leffler functions and generalizations, Fractional derivatives and integrals
Fields of Science
01 natural sciences, 0103 physical sciences
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.
WoS Q
Q1
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OpenCitations Citation Count
20
Source
Advances in Difference Equations
Volume
2020
Issue
1
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CrossRef : 7
Scopus : 28
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