从Mittag-Leffler函数到Tsallis统计量的路径模型
Mittag-Leffler Functions to Pathway Model to Tsallis Statistics
摘要：
在反应速率理论中，在输入-输出型模型和反应-扩散问题中，当全导数用分数阶导数代替时，其解可用Mittag-Leffler函数及其推广形式来表示。当分数阶微积分进入画面的解决方案，这些问题，通常可在超几何函数，G和H-功能，切换到米塔格-莱弗勒函数和他们的推广到赖特函数。本文建立了广义Mittag-Leffler函数、通路模型、Tsallis统计量、超熵和幂律之间以及相应的熵测度之间的联系。
英文摘要：
In reaction rate theory, in input-output type models and in reaction-diffusion problems when the total derivatives are replaced by fractional derivatives the solutions are obtained in terms of Mittag-Leffler functions and their generalizations. When fractional calculus enters into the picture the solutions of these problems, usually available in terms of hypergeometric functions, G and H-functions, switch to Mittag-Leffler functions and their generalizations into Wright functions. In this paper, connections are established among generalized Mittag-Leffler functions, pathway model, Tsallis statistics, superstatisitcs and power law, and among the corresponding entropic measures.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
