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

• Published in: AIMS mathematics Vol. 8; no. 3; pp. 5540 - 5550
• Main Authors: Mohammed, Pshtiwan Othman, Dahal, Rajendra, Goodrich, Christopher S., Hamed, Y. S., Baleanu, Dumitru
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2023
• Subjects: analytical and numerical monotonicity results; discrete fractional calculus; mittag–leffler type kernel

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 h...