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首页> 外文期刊>Discrete and Continuous Dynamical Systems,Series S >NEW RESULTS FOR OSCILLATION OF FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS WITH DAMPING TERM
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NEW RESULTS FOR OSCILLATION OF FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS WITH DAMPING TERM

机译:随着阻尼术语振荡分数局部微分方程的新结果

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摘要

In this paper, we study the oscillatory behavior of solutions of aclass of damped fractional partial differential equations subject to Robin andDirichlet boundary value conditions. By using integral averaging techniqueand Riccati type transformations, we obtain some new suffcient conditions foroscillation of all solutions of this kind of fractional differential equations withdamping term. Our results essentially enrich the ones in the existing literature.Finally, we also give two specific examples to illustrate our main results.
机译:在本文中,我们研究了一个解决方案的振荡行为 受阻的分数局部微分方程的课程受罗宾及 Dirichlet边值条件。 通过使用积分平均技术 和Riccati型转换,我们获得了一些新的休止条件 这种分数微分方程的所有解决方案的振动 阻尼术语。 我们的结果基本上丰富了现有文献中的结果。 最后,我们还给出了两个具体的例子来说明我们的主要结果。

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    College of Mathematics and Statistics Hengyang Normal UniversityHengyang Hunan 421002 P. R. ChinaHunan Provincial Key Laboratory of Intelligent InformationProcessing and Application Hengyang 421002 P. R. China;

    College of Mathematics and Statistics Hengyang Normal UniversityHengyang Hunan 421002 P. R. ChinaHunan Provincial Key Laboratory of Intelligent InformationProcessing and Application Hengyang 421002 P. R. China;

    College of Mathematics and Statistics Hengyang Normal UniversityHengyang Hunan 421002 P. R. ChinaHunan Provincial Key Laboratory of Intelligent InformationProcessing and Application Hengyang 421002 P. R. China;

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  • 正文语种 eng
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  • 关键词

    Oscillation; fractional partial difierential equation; damping term; integral averaging technique; Riccati transformation;

    机译:振荡;分数部分不同方程式;阻尼术语;积分平均技术;里卡蒂转型;

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