MRF is a time-efficient technique to simultaneously measure of multiple parameters through pattern recognition. The completeness of dictionary to describe the signal evolution process in NMR system is very important to acquire the accurate T1 and T2 values. A new dictionary, generated by using fractional Bloch equations and B1 correction, is proposed to improve the MRF-FISP accuracy. In this work, we compared the accuracy of relaxation values with three dictionary models through phantom and in-vivo experiments. Results illustrated that dictionary generated through fractional Bloch equation with B1 correction is the best to approach T1 and T2 standards.