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  • 标题:Oscillation criteria of fractional differential equations
  • 本地全文:下载
  • 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
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