In this work, we postulate a novel entropy functional, which depends on two parameters. This is motivated by the use of a certain fractional difference operator. We show that our entropy functional reduces to well-known ones for certain values of the parameters. Moreover, we discuss the Shannon–Khinchin axioms and the Lesche stability for this system.

中文翻译：

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基于分数差分算子的熵

在这项工作中，我们假设一个新的熵函数，它取决于两个参数。这是由于使用某个分数差算子而引起的。我们表明，对于某些参数值，我们的熵函数降为众所周知的熵函数。此外，我们讨论了该系统的Shannon-Khinchin公理和Lesche稳定性。