Relations between fractional models with three-parameter Mittag-Leffler kernels
Arran Fernandez, Thabet Abdeljawad, Dumitru Bǎleanu
Abstract
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.
Topics & Concepts
MathematicsExtension (predicate logic)Fractional calculusApplied mathematicsOrdinary differential equationPartial differential equationIterated functionCalculus (dental)Pure mathematicsMathematical analysisDifferential equationComputer scienceProgramming languageDentistryMedicineFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisMathematical functions and polynomials