Kipriyanov的分数阶微积分：历史与遗产
Kipriyanov's Fractional Calculus Prehistory and Legacy
AI总结：
本文综述了分数阶微积分的历史方法，重点介绍了Kipriyanov分数阶微积分理论的构建及其与经典理论的比较，并展示了相关算子在现代半群理论视角下的推广成果。
摘要：
本文部分是对分数阶微积分中各种方法和途径的历史综述，部分是对Kipriyanov非凡理论与经典理论的比较描述。文中凸出强调了构建独立Kipriyanov分数阶微积分理论的重要性和杰出方法，同时展示了涉及Kipriyanov算子及相应推广的现代成果。
英文摘要：
This paper is partly a historical survey of various approaches and methods in the fractional calculus, partly a description of the Kipriyanov extraordinary theory in comparison with the classical one. The significance and outstanding methods in constructing the independent Kipriyanov fractional calculus theory are convexly stressed, also we represent modern results involving the Kipriyanov operator and corresponding generalization under the semigroup theory point of view.
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。
