Complex-Valued Symmetric Fractional Derivative on Time Scales

被引：0

作者：

Sozbir, Bayram ^{[1
]}

Altundag, Selma ^{[1
]}

机构：

[1] Sakarya Univ, Dept Math, Sakarya, Turkey

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS | 2019年 / 58卷 / 04期

关键词：

Fractional calculus; time scales; dynamic derivatives; symmetric fractional derivative; DIFFERENTIATION; INTEGRATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the concept of symmetric fractional (noninteger order) derivative for functions defined on an arbitrary nonempty subset of real numbers (i.e., on a time scale), denoted by f(lozenge alpha )(t). Then the basic properties of this new operator are examined, and some related theorems are proved. We also give several examples.

引用

页码：50 / 60

页数：11

共 27 条

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[3]

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[4]

Bayour B., 2016, SPRINGER P MATH STAT, V164