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

Abstract

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.

arXiv admin note: substantial text overlap with arXiv:2007.02776, arXiv:2006.14963

References in corpus (2)

• An approximation to zeros of the Riemann zeta function using fractional calculus
• Reduction of a nonlinear system and its numerical solution using a fractional iterative method

Cited by in corpus (3)

• An approximation to zeros of the Riemann zeta function using fractional calculus
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• Numerical solution using radial basis functions for multidimensional fractional partial differential equations of type Black-Scholes