ON THE GENERALIZED WEIGHTED CAPUTO-TYPE DIFFERENTIAL OPERATOR

被引：1
|
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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