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

被引：7

作者：

Mohammed, Pshtiwan Othman ^{[1
]}

Dahal, Rajendra ^{[2
]}

Goodrich, Christopher S. ^{[3
]}

Hamed, Y. S. ^{[4
]}

Baleanu, Dumitru ^{[5
,6
,7
]}

机构：

[1] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani 46001, Iraq

[2] Coastal Carolina Univ, Dept Math & Stat, Conway, SC 29526 USA

[3] UNSW Sydney, Sch Math & Stat, Sydney, NSW 2052, Australia

[4] Taif Univ, Coll Sci, Dept Math & Stat, POB 11099, Taif 21944, Saudi Arabia

[5] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkiye

[6] Inst Space Sci, R-76900 Bucharest, Romania

[7] Lebanese Amer Univ, Sch Arts & Sci, Dept Nat Sci, Beirut 11022, Lebanon

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 03期

关键词：

discrete fractional calculus; Mittag-Leffler type kernel; analytical and numerical monotonicity results; MONOTONICITY; NABLA; CONVEXITY; ORDER;

D O I：

10.3934/math.2023279

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：5540 / 5550

页数：11

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