Some properties of pseudo-fractional operators

被引：18

作者：

Babakhani, Azizollah ^{[1
]}

Yadollahzadeh, Milad ^{[2
]}

Neamaty, Abdolali ^{[2
]}

机构：

[1] Babol Noshirvani Univ Technol, Dept Math, Shariati Ave, Babol Sar 4714871167, Iran

[2] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar 4741695447, Iran

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2018年 / 9卷 / 03期

关键词：

Pseudo-multiplication; Pseudo-addition; Semiring; Pseudo-fractional integrals; Pseudo-fractional derivatives; The Leibniz rule; Pseudo-Laplace transform; CALCULUS;

D O I：

10.1007/s11868-017-0206-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we discuss the pseudo-fractional calculus, including two fields of fractional calculus and pseudo-analysis. We also provide pseudo-fractional integral/derivative operators on a semiring . Then, some basic properties of these operators are proposed such as the Leibniz rule, chain rule and g-Laplace transform formulas.

引用

页码：677 / 700

页数：24

共 23 条

[1] On pseudo-Mittag-Leffler functions and applications [J].