分数阶微分方程的振动性
Oscillation for Fractional Differential Equations
本文研究了一类带Riemann--Liouville导数的分数时滞微分方程$$(D^{α} x)(t)+sum_{i=1}^np_ix(t- au_i)=f(t),~~~tgeq0.eqno(*)$$利用Laplace变换得到方程（*）的解是振动的一些充分条件。
In this paper, we discuss the fractional delay differential equationswith Riemann--Liouville fractional derivative$$(D^{α} x)(t)+sum_{i=1}^np_ix(t- au_i)=f(t),~~~tgeq0.eqno(*)$$ Sufficient conditions for all solutions of (*) to beoscillatory are obtained by using the Laplace transforms.
周勇、刘伟
数学
常微分方程理论分数时滞微分方程振动性Laplace变换Riemann--Liouville导数。
Ordinary differential equation Fractional delay differentialequations Oscillation Laplace transform Riemann--Liouvillederivative.
周勇,刘伟.分数阶微分方程的振动性[EB/OL].(2015-11-24)[2025-08-10].http://www.paper.edu.cn/releasepaper/content/201511-451.点此复制
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