分数阶Bloch方程的解

Solving the fractional order Bloch equation

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.