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摘要: |
本文研究了一类中立型分数阶偏微分方程的振动性,利用积分平均值方法和拉普拉斯变换,得到了方程振动新的准则,推广了中立型偏微分方程振动的一些经典结论. |
关键词: 分数阶微分方程 中立型 振动 拉普拉斯变换 |
DOI: |
分类号:O175 |
基金项目:Supported by National Natural Science Foundation of China, (41630643). |
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OSCILLATION OF FRACTIONAL NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS |
WANG Xu-long,LONG Si-ying,LIU An-ping
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Abstract: |
In this paper, we study the oscillation of a fractional neutral partial differential equation subject to Neumann boundary condition. Using an integration average technique and the Laplace transform, we obtain some new oscillation criteria, which are the generalization of some classical results involving partial differential equations. Some examples are given to show the applications of our main results. |
Key words: fractional differential equations neutral oscillation laplace transform |