On weighted Atangana–Baleanu fractional operators

Mohammed Al-Refai

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)

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 weighted Atangana–Baleanu fractional derivative in a convergent series of Riemann–Liouville fractional integrals, and establish commutative results of the weighted Atangana–Baleanu fractional operators.

Original languageEnglish
Article number3
JournalAdvances in Difference Equations
Volume2020
Issue number1
DOIs
Publication statusPublished - Dec 1 2020
Externally publishedYes

Keywords

  • Fractional derivatives with nonsingular kernels
  • Fractional differential equations
  • Weighted fractional derivatives

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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