Tarasov Vasily E
Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow 119991, Russia.
Department of Physics, 915, Moscow Aviation Institute (National Research University), Moscow 125993, Russia.
Entropy (Basel). 2022 Dec 19;24(12):1852. doi: 10.3390/e24121852.
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.
提出了对哈达玛型分数阶积分和微分算子的解释。函数关于另一个函数的哈达玛型分数阶积分被解释为标准熵、分数熵和累积熵的一种推广。利用哈达玛型分数阶算子提出了一族分数阶累积熵。