| 带阻尼项的分数阶偏微分方程的强迫振动性（英文） |
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| 引用本文： | 马晴霞,刘克英,刘安平.带阻尼项的分数阶偏微分方程的强迫振动性（英文）[J].数学杂志,2019(1):111-120. |
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| 作者姓名： | 马晴霞 刘克英 刘安平 |
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| 作者单位： | 中国地质大学(武汉)数学与物理学院;华北水利水电大学数学与信息科学学院 |
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| 基金项目： | Supported by National Natural Science Foundation of China(11601496;41630643) |
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| 摘 要： | 本文研究了一类带阻尼项的分数阶偏微分方程在Robin边界条件下的强迫振动性.利用积分平均值方法和Riemann-Liouville微积分的一些特殊性质,得到了强迫振动新的准则,推广了偏微分方程强迫振动的一些经典结论.
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| 关 键 词： | 分数阶微分方程 强迫振动 Riemann-Liouville分数阶微积分 |
FORCED OSCILLATION OF FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS WITH DAMPING TERM |
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| MA Qing-xia,LIU Ke-ying,LIU An-ping.FORCED OSCILLATION OF FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS WITH DAMPING TERM[J].Journal of Mathematics,2019(1):111-120. |
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| Authors: | MA Qing-xia LIU Ke-ying LIU An-ping |
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| Institution: | (School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China;School of Mathematics and Information Sciences, North China University of Water Resourcesand Electric Power, Zhengzhou 450045, China) |
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| Abstract: | MA Qing-xia;LIU Ke-ying;LIU An-ping(School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China;School of Mathematics and Information Sciences, North China University of Water Resourcesand Electric Power, Zhengzhou 450045, China) |
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| Keywords: | fractional partial differential equations forced oscillation Riemann-Liouville fractional calculus |
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