| 分数阶Bloch方程的解 |
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| 引用本文： | 黎明,徐明瑜.分数阶Bloch方程的解[J].山东大学学报(理学版),2013,48(1):56-61. |
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| 作者姓名： | 黎明 徐明瑜 |
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| 作者单位： | 山东大学数学学院,山东济南,250100 |
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| 基金项目： | 国家自然科学基金资助项目(10272067) |
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| 摘 要： | 讨论了具有3个分数阶导数参数的Bloch方程组,其解通过Laplace变换得到,可用H Fox函数表示。图形显示,经典Bloch方程组的解为本研究的特例。
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| 关 键 词： | Bloch方程 核磁共振 分数阶导数 H-Fox函数 |
| 收稿时间： | 2012-08-23 |
Solving the fractional order Bloch equation |
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| LI Ming,XU Ming-yu.Solving the fractional order Bloch equation[J].Journal of Shandong University,2013,48(1):56-61. |
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| Authors: | LI Ming XU Ming-yu |
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| Institution: | (School of Mathematics,Shandong University,Jinan 250100,Shandong,China) |
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| Abstract: | The fractional derivative Bloch equations with three fractional derivative parameters are discussed, and their solution is obtained by using Laplace transform techniques and can be expressed in terms of H-Fox functions. The figures in this paper show that the solution of the classical Bloch equations is the special case of the fractional Bloch equations discussed in this paper. |
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| Keywords: | Bloch equation nuclear magnetic resonance fractional derivative H-Fox function |
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