J4 ›› 2013, Vol. 48 ›› Issue (1): 56-61.
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黎明,徐明瑜
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国家自然科学基金资助项目(10272067)
LI Ming, XU Ming-yu
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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HFox函数表示。图形显示,经典Bloch方程组的解为本研究的特例。
关键词: Bloch方程;核磁共振;分数阶导数;H-Fox函数
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.
Key words: Bloch equation; nuclear magnetic resonance; fractional derivative; H-Fox function
黎明,徐明瑜. 分数阶Bloch方程的解[J]. J4, 2013, 48(1): 56-61.
LI Ming, XU Ming-yu. Solving the fractional order Bloch equation[J]. J4, 2013, 48(1): 56-61.
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