Statistical convergence of new type difference sequences with Caputo fractional derivative

被引：1
|
作者：
Karakas, Abdulkadir [1 ]
机构：
[1] Siirt Univ, Dept Math, Siirt, Turkey
来源：
AIMS MATHEMATICS | 2022年 / 7卷 / 09期
关键词：
difference operators; statistical convergence; sequence spaces; fractional difference operators; ORDER; SPACES;
D O I：
10.3934/math.2022940
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we discuss the idea of di fference operators Delta(a)(p), Delta((a))(p) (alpha is an element of R) and examine some properties of these operators. We also describe the concepts of ordered statistical convergence and lacunary statistical by using the Delta(a)(p)-difference operator. We examine some features of these sequence spaces and present some inclusion theorems. We obtain the Caputo fractional derivative in this work.
引用
收藏
页码：17091 / 17104
页数：14
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