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