文章基本信息

标题：Oscillation criteria of fractional differential equations
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作者：Da-Xue Chen
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2012
卷号：2012
期号：1
页码：33
DOI：10.1186/1687-1847-2012-33
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this article, we are concerned with the oscillation of the fractional differential equation r ( t ) D - α y η ( t ) ′ - q ( t ) f ∫ t ∞ ( v - t ) - α y ( v ) d v = 0 for t > 0 , where D - α y is the Liouville right-sided fractional derivative of order α ∈ (0,1) of y and η > 0 is a quotient of odd positive integers. We establish some oscillation criteria for the equation by using a generalized Riccati transformation technique and an inequality. Examples are shown to illustrate our main results. To the best of author's knowledge, nothing is known regarding the oscillatory behavior of the equation, so this article initiates the study. MSC (2010): 34A08; 34C10.
关键词：oscillation ; fractional derivative ; fractional differential equation