分数阶Bloch方程的解  

Solving the fractional order Bloch equation

作　　者：黎明[1] 徐明瑜[1] 

机构地区：[1]山东大学数学学院,山东济南250100

出　　处：《山东大学学报（理学版）》2013年第1期56-61,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(10272067)

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。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 fig- ures in this paper show that the solution of the classical Bloch equations is the special case of the fractional Bloch equa- tions discussed in this paper.

关 键 词：BLOCH方程 核磁共振 分数阶导数 H-Fox函数 

分 类 号：O175[理学—数学]