A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf
.
On a new class of fractional difference-sum operators based on discrete Atangana-Baleanu sums
[article]
2019
arXiv
pre-print
We formulate a new class of fractional difference and sum operators, study their fundamental properties, and find their discrete Laplace transforms. The method depends on iterating the fractional sum operators corresponding to fractional differences with discrete Mittag-Leffler kernels. The iteration process depends on the binomial theorem. We note in particular the fact that the iterated fractional sums have a certain semigroup property and hence the new introduced iterated fractional
arXiv:1901.08268v1
fatcat:xj7ivd5vq5brnkxbi6rqyu4wdy