Fractional Newton's Method and Some Variants for the Solution of Nonlinear Systems
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In the following document we present some novelty numerical methods valid for one and several variables, which using fractional derivatives, allow to find solutions for some nonlinear systems in the complex space using real initial conditions. The origin of these methods is the fractional Newton-Raphson method, but unlike the latter, the orders of fractional derivatives that we propose in this work are functions.
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