| CAUCHY PROBLEM FOR FRACTIONAL BEAM-LIKE EQUATIONS |
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| 引用本文： | Zeng Youdong (College of Math,and Computer Science,Fuzhou University,Fuzhou 350002). CAUCHY PROBLEM FOR FRACTIONAL BEAM-LIKE EQUATIONS[J]. Annals of Differential Equations, 2005, 21(3): 514-517 |
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| 作者姓名： | Zeng Youdong (College of Math and Computer Science Fuzhou University Fuzhou 350002) |
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| 作者单位： | College of Math，and Computer Science，Fuzhou University，Fuzhou 350002 |
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| 基金项目： | Supported by the Natural Science Foundation of Fujian Province(2001J009, Z0511015)the fund of Fuzhou University. |
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| 摘 要： | ![]()
In one space-and in one time -dimension a beam-like equation is solved, where the second time derivative is replaced by the a?fractional time derivative, 1 <α< 2. The solution is given in closed form in terms of the Mttag-Leffler functions in two parameters.
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| 关 键 词： | Cauchy问题 分式导数 分式积分 Mittag-Leffler函数 分数微分方程 |
CAUCHY PROBLEM FOR FRACTIONAL BEAM-LIKE EQUATIONS |
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| Zeng Youdong. CAUCHY PROBLEM FOR FRACTIONAL BEAM-LIKE EQUATIONS[J]. 微分方程年刊(英文版), 2005, 21(3): 514-517 |
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| Authors: | Zeng Youdong |
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| Affiliation: | College of Math. and Computer Science, Fuzhou University, Fuzhou 350002 |
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| Abstract: | ![]()
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| Keywords: | Caputo fractional derivative/integral Mittag-Leffler function partial fractional differential equations generalized Duhamel principle |
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