ON THE GENERALIZED WEIGHTED CAPUTO-TYPE DIFFERENTIAL OPERATOR

被引：0

作者：

Liu, Jian-Gen ^{[1
,2
]}

Yang, Xiao-Jun ^{[1
,2
,3
]}

Feng, Yi-Ying ^{[2
,3
]}

Geng, Lu-Lu ^{[1
,2
]}

机构：

[1] School of Mathematics, China University of Mining and Technology, Jiangsu, Xuzhou,221116, China

[2] State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Jiangsu, Xuzhou,221116, China

[3] School of Mechanics and Civil Engineering, China University of Mining and Technology, Jiangsu, Xuzhou,221116, China

来源：

Fractals | 2022年 / 30卷 / 01期

关键词：

Mathematical operators;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we defined a generalized weighted Caputo-type differential operator. Then, it can express as a convergent series through the Riemann-Liouville integral. At the same time, by solving related linear differential equation, we can construct the generalized weighted Caputo-type integral operator. Lastly, some theorems and properties of these considered operators were also studied. © 2022 World Scientific Publishing Company.

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