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20172025
most citedFractional Newton-Raphson Method Accelerated with Aitken's Method

33 citations · 175 across the 15 of their papers we have counts for

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Showing 2020 · math.NAShow all

5 papers · 2 filters

math.NA2020★ 3 cited

Numerical solution using radial basis functions for multidimensional fractional partial differential equations of type Black-Scholes

A. Torres-Hernandez, F. Brambila-Paz, C. A. Torres-Martínez

The aim of this paper is to solve numerically, using the meshless method via radial basis functions, time-space-fractional partial differential equations of type Black-Scholes. The…

math.NA2020★ 9 cited

A nonlinear system related to investment under uncertainty solved using the fractional pseudo-Newton method

A. Torres-Hernandez, F. Brambila-Paz, J. J. Brambila

A nonlinear algebraic equation system of two variables is numerically solved, which is derived from a nonlinear algebraic equation system of four variables, that corresponds to a m…

math.NA2020★ 16 cited

Reduction of a nonlinear system and its numerical solution using a fractional iterative method

A. Torres-Hernandez, F. Brambila-Paz, P. M. Rodrigo

A nonlinear algebraic equation system of 5 variables is numerically solved, which is derived from the application of the Fourier transform to a differential equation system that al…

math.NA2020★ 21 cited

An approximation to zeros of the Riemann zeta function using fractional calculus

A. Torres-Hernandez, F. Brambila-Paz

In this document, as far as the authors know, an approximation to the zeros of the Riemann zeta function has been obtained for the first time using only derivatives of constant fun…

math.NA2020★ 2 cited

Fractional pseudo-Newton method and its use in the solution of a nonlinear system that allows the construction of a hybrid solar receiver

A. Torres-Hernandez, F. Brambila-Paz, P. M. Rodrigo +2

The following document presents a possible solution and a brief stability analysis for a nonlinear system, which is obtained by studying the possibility of building a hybrid solar…