On weighted Atangana–Baleanu fractional operators
Keyword(s):
AbstractIn 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.
2006 ◽
Vol 2006
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pp. 1-18
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2020 ◽
Vol 130
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pp. 109397
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2020 ◽
Vol 23
(1)
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pp. 103-125
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2015 ◽
Vol 2015
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pp. 1-6
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