Generalized conformable fractional Newton-type method for solving nonlinear systems

Abstract In a recent paper, conformable fractional Newton-type method was proposed for solving nonlinear equations. This involves lower computational cost compared to other iterative methods. Indeed, the theoretical order of convergence is held in practice, and it presents better numerical behaviour than methods formerly proposed, even classical Newton-Raphson method. this work, we design generalization systems by using new Jacobian matrix, suitable Taylor power series; with Newton’s scheme. The necessary concepts results are stated Convergence analysis made quadratic obtained, as Numerical tests made, Approximated Computational Order (ACOC) supports theory. Also, scheme shows good stability properties observed means planes.