Local Fractional Newton´s Method Derived from Modified Local Fractional Calculus

A local fractional Newton´s method, which is derived from the modified local fractional calculus, is proposed in the present paper. Its iterative function is obtained and the convergence of the iterative function is discussed. The comparison between the classical Newton iteration and the local fractional Newton iteration has been carried out. It is shown that the iterative value of the local fractional Newton method better approximates the real-value than that of the classical one.