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

by   A. Torres-Hernandez, et al.

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 mathematical model related to investment under conditions of uncertainty. The theory of investment under uncertainty scenarios proposes a model to determine when a producer must expand or close, depending on his income. The system mentioned above is solved using 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.



There are no comments yet.


page 1

page 2

page 3

page 4


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

A nonlinear algebraic equation system of 5 variables is numerically solv...

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

A novel iterative method to approximate the zeros of the Riemann zeta fu...

Fractional Newton's Method and Some Variants for the Solution of Nonlinear Systems

In the following document we present some novelty numerical methods vali...

Numerical Modeling of Kondratyev's Long Waves Taking into Account Heredity

The paper proposes a new mathematical model of economic cycles and crise...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.