On weighted Atangana–Baleanu fractional operators

Abstract In this paper, we define the weighted Atangana–Baleanu fractional operators of Caputo sense. We obtain the solution of a related linear fractional differential equation in a closed form, and use the result to define the weighted Atangana–Baleanu fractional integral. We then express the weig...

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Bibliographic Details
Main Author: Mohammed Al-Refai
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-019-2471-z