@article{Mohammed2023, 
author = {Pshtiwan Othman Mohammed and Rajendra Dahal and Christopher S. Goodrich and Y. S. Hamed and Dumitru Baleanu},
title = {Analytical and numerical negative boundedness of fractional differences with Mittag–Leffler kernel},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {3},
pages = {5540-5550},
keywords = {discrete fractional calculus, Mittag–Leffler type kernel, analytical and numerical monotonicity results},
url = {https://www.sciopen.com/article/10.3934/math.2023279},
doi = {10.3934/math.2023279},
abstract = {We show that a class of fractional differences with Mittag–Leffler kernel can be negative and yet monotonicity information can still be deduced. Our results are complemented by numerical approximations. This adds to a growing body of literature illustrating that the sign of a fractional difference has a very complicated and subtle relationship to the underlying behavior of the function on which the fractional difference acts, regardless of the particular kernel used.}
}