Torres Hernandez, AnthonyBrambila Paz, Fernando2024-04-302024-04-302021Torres-Hernandez A, Brambila-Paz F. Fractional Newton-Raphson method. Applied mathematics and sciences. 2021;8(1):1-13. DOI: 10.5121/mathsj.2021.81012349-6223http://hdl.handle.net/10230/59958The Newton-Raphson (N-R) method is useful to find the roots of a polynomial of degree n, with n ∈ N. However, this method is limited since it diverges for the case in which polynomials only have complex roots if a real initial condition is taken. In the present work, we explain an iterative method that is created using the fractional calculus, which we will call the Fractional Newton-Raphson (F N-R) Method, 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.application/pdfengThe copyright of the paper is retained by the author under Creative Commons (CC) Attribution license. This license authorizes unrestricted circulation and reproduction of the publication by anybody, as long as the original work is properly cited.info:eu-repo/semantics/articlehttp://dx.doi.org/10.5121/mathsj.2021.8101Newton-Raphson MethodFractional CalculusFractional Derivativeinfo:eu-repo/semantics/openAccess