Abstract:
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. � Springer Nature Singapore Pte Ltd 2019.
Description:
G�mez-Aguilar, J.F., CONACyT-Tecnol�gico Nacional de M�xico/CENIDET, Interior Internado Palmira S/N, Col. Palmira, Cuernavaca, Morelos C.P. 62490, Mexico; Ghanbari, B., Department of Engineering Science, Kermanshah University of Technology, Kermanshah, Iran; Bonyah, E., Department of Mathematics Education, University of Education Winneba, Kumasi Campus, Winneba, Ghana