Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy

被引：7

作者：

Tarasov, Vasily E. ^{[1
,2
]}

机构：

[1] Lomonosov Moscow State Univ, Skobeltsyn Inst Nucl Phys, Moscow 119991, Russia

[2] Natl Res Univ, Moscow Aviat Inst, Dept Phys, Moscow 125993, Russia

来源：

ENTROPY | 2022年 / 24卷 / 12期

关键词：

fractional calculus; fractional integrals; Hadamard-type fractional pperator; entropy; cummulative entropy; fractional entropy; DIFFERENTIAL-EQUATIONS; PROBABILITY INTERPRETATION; GEOMETRICAL INTERPRETATION; PHYSICAL INTERPRETATION; ANOMALOUS DIFFUSION; DERIVATIVES; INTEGRATION; CALCULUS; RELAXATION; DYNAMICS;

D O I：

10.3390/e24121852

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Interpretations of Hadamard-type fractional integral and differential operators are proposed. The Hadamard-type fractional integrals of function with respect to another function are interpreted as an generalization of standard entropy, fractional entropies and cumulative entropies. A family of fractional cumulative entropies is proposed by using the Hadamard-type fractional operators.

引用

页数：18

共 99 条

[1]

Ahmad B., 2017, Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities

[2]

[Anonymous], 1957, Mathematical Foundations of Information Theory

[3]

[Anonymous], Bell System Technical Journal

[4] On the dynamic cumulative residual entropy [J].