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.
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页数：18
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