Behzad Ghanbari

In this chapter, we analyze the nonlinear Bloch system with a new fractional operator without singular kernel proposed by Michele Caputo and Mauro Fabrizio. The commensurate and non-commensurate order nonlinear Bloch system is considered. Special solutions using a numerical scheme based in Lagrange interpolations were obtained. We studied the uniqueness and existence of the solutions employing the fixed point theorem. Novel chaotic attractors with total order less than 3 are obtained.