Monotonicity results for CFC nabla fractional differences with negative lower bound

被引：13
|
作者：
Goodrich, Christopher S. S. [1 ]
Jonnalagadda, Jagan M. M. [2 ]
机构：
[1] UNSW Sydney, Sch Math & Stat, Sydney, NSW 2052, Australia
[2] Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad 500078, Telangana, India
来源：
ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS | 2021年 / 41卷 / 04期
关键词：
Discrete fractional calculus; monotonicity; exponential kernel; sequential fractional difference; negative lower bound; CONVEXITY;
D O I：
10.1515/anly-2021-0011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the sequential CFC-type nabla fractional difference (CFC del(nu)(a+1) CFC del(mu)(a)u)(t) and show that one can derive monotonicity-type results even in the case where this difference satisfies a strictly negative lower bound. This illustrates some dissimilarities between the integer-order and fractional- order cases.
引用
收藏
页码：221 / 229
页数：9
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