Torres Hernandez, AnthonyBrambila Paz, FernandoRodrigo Cruz, Pedro ManuelDe la Vega, Eduardo2025-07-072025-07-072020Torres-Hernandez A, Brambila-Paz F, Rodrigo PM, De-la-Vega E. Reduction of a nonlinear system and its numerical solution using a fractional iterative method. Journal of Mathemathics and Statistical Science. 2020 Oct;6(10):285-99.2411-2518http://hdl.handle.net/10230/70851A nonlinear algebraic equation system of 5 variables is numerically solved, which allows modeling the behavior of the temperatures and the efficiencies of a hybrid solar receiver, which in simple terms is the combination of a photovoltaic system with a thermoelectric system. In addition, a way to reduce the previous system to a nonlinear system of only 2 variables is presented. Naturally, reducing algebraic equation systems of dimension N to systems of smaller dimensions has the main advantage of reducing the number of variables involved in a problem, but the analytical expressions of the systems become more complicated. However, to minimize this disadvantage, an iterative method that does not explicitly depend on the analytical complexity of the system to be solved is used. A fractional iterative method, valid for one and several variables, that uses the properties of fractional calculus, in particular the fact that the fractional derivatives of constants are not always zero, to find solutions of nonlinear systems is presented.application/pdfengSSP asks authors to grant SSP a nonexclusive copyright. In this way authors continue to hold copyright with no restrictions. Based on its copyright SSP produces the final paper in SSP’s layout. This version is given to the public (and hence also back to the authors) under the Creative Commons license (CC BY or CC BY-NC). For this reason authors may also publish the final paper in any repository or on any website with a complete citation of the paper.info:eu-repo/semantics/articleIteration functionOrder of convergenceFractional derivativeParallel chord methodHybrid solar receiverinfo:eu-repo/semantics/openAccess