Analytical and numerical negative boundedness of fractional differences with Mittag–Leffler kernel

Authors

• Pshtiwan Othman Mohammed, University of Sulaimani
• Rajendra Dahal, Coastal Carolina University
• Christopher S. Goodrich, UNSW Sydney
• Y. S. Hamed, Taif University
• Dumitru Baleanu, Çankaya Üniversitesi

Document Type

Article

Publication Date

1-1-2023

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.

Comments

AIMS Press originally published this article.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Recommended Citation

P. O. Mohammed, R. Dahal, C. S. Goodrich, Y. S. Hamed, & D. Baleanu, Analytical and numerical negative boundedness of fractional differences with Mittag–Leffler kernel, AIMS Mathematics, 8(1) (2023), 5540-5550, https://www.aimspress.com/article/doi/10.3934/math.2023279. Available at https://digitalcommons.coastal.edu/mathematics-statistics/