On weighted Atangana–Baleanu fractional operators

By Mohammed Abdalla Al-Refai. 2020

71 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/55a0442bf584e6e74f09996a10dc48cc11fb6429

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In Applied Mathematics

1. Hafiz Muhammad Fahad
2. Arran Fernandez
3. Dumitru Băleanu
4. Pshtiwan Othman Mohammed
5. Thabet Abdeljawad

In Modeling and Simulation

1. Hafiz Muhammad Fahad
2. Arran Fernandez
3. Dumitru Băleanu
4. Pshtiwan Othman Mohammed
5. Thabet Abdeljawad

Citations in the corpus

• Weighted Fractional Calculus: A General Class of Operators (2022, background): “A few recent papers have also studied mathematical properties of these weighted operators [4, 14] and of the associated differential equations [1, 6, 19].”