Fractional Newton-Raphson Method

Ali AKGÜL

aliakgul@siirt.edu.tr

The Newton-Raphson (N-R) method is useful to find the roots of a polynomial of degree n. We improved the method and obtained the Fractional Newton-Raphson Method (F N-R), which has the ability to enter the space of complex numbers given a real initial condition, which allows us to find both the real and complex roots of a polynomial unlike the classical Newton-Raphson method.

Key words: Newton-Raphson Method, Fractional Calculus, Fractional Derivative of Caputo.