33 citations · 175 across the 15 of their papers we have counts for
11 papers · 1 filter
Sets of fractional operators and numerical estimation of the order of convergence of a family of fractional fixed point methods
A. Torres-Hernandez, F. Brambila-Paz
Considering the large number of fractional operators that exist, and since it does not seem that their number will stop increasing soon at the time of writing this paper, it is pre…
Acceleration of the order of convergence of a family of fractional fixed point methods and its implementation in the solution of a nonlinear algebraic system related to hybrid solar receivers
A. Torres-Hernandez, F. Brambila-Paz, R. Montufar-Chaveznava
This paper presents a way to define, classify and accelerate the order of convergence of an uncountable family of fractional fixed point methods, which may be useful to continue ex…
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…
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…
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…
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…
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…
Fractional Newton-Raphson Method and Some Variants for the Solution of Non-linear Systems
A. Torres-Hernandez, F. Brambila-Paz
The following document presents some novel numerical methods valid for one and several variables, which using the fractional derivative, allow to find solutions for some non-linear…
Proposal for Use the Fractional Derivative of Radial Functions in Interpolation Problems
A. Torres-Hernandez, F. Brambila-Paz, C. Torres-Martínez
In this document we present the construction of a radial functions that have the objective of emulating the behavior of the radial basis function thin plate spline (TPS), which we…
Fractional Newton-Raphson Method Accelerated with Aitken's Method
A. Torres-Hernandez, F. Brambila-Paz, U. Iturrarán-Viveros +1
In the following document, we present a way to obtain the order of convergence of the Fractional Newton-Raphson (F N-R) method, which seems to have an order of convergence at least…
Fractional Newton-Raphson Method
A. Torres-Hernandez, F. Brambila-Paz
The Newton-Raphson (N-R) method is useful to find the roots of a polynomial of degree n. However, this method is limited since it diverges for the case in which polynomials only ha…