分数阶导数、积分的渐近ω周期性和伪ω周期性

摘要

首先给出了分数阶导数和积分、分数阶定积分、渐近ω周期性、伪ω周期性的定义以及分数阶导数、积分的线性运算性质，接着研究了分数阶积分的周期性、渐近ω周期性和伪ω周期性，最后利用已得结论，研究了分数阶导数的周期性、渐近ω周期性和伪ω周期性。%The definition of fractional derivative and fractional integral ,fractional definite integral , asymptotically ω‐periodic property ,pseudo ω‐periodic property are described .T hen the results of asymp‐totically ω‐periodic and pseudo ω‐periodic properties of fractional integral are derived .Finally by using the above results ,the results of asymptotically ω‐periodic and pseudo ω‐periodic properties of fractional derivative are discussed .