33 citations · 175 across the 15 of their papers we have counts for
7 papers · 1 filter
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…
Introducción al Cálculo Fraccional
A. Torres-Hernandez, F. Brambila-Paz
The following material was created with the idea of being used for an introductory fractional calculus course. A recapitulation of the history of fractional calculus is presented,…
Fractional flow equations. A model for pressure deficit in an oil well
B. F. Martínez-Salgado, F. Alcántara-López, A. Torres-Hernandez +3
This article presents a novel system of flow equations that models the pressure deficit of a reservoir considered as a triple continuous medium formed by the rock matrix, vugular m…
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…