3 papers
math.DS2021
A fractional order cubic differential equation. Applications to natural resource management
Melani Barrios, Gabriela Reyero, Mabel Tidball
An analysis of a fractional cubic differential equation is presented, which is a generalization of different versions of fractional logistic equations, in order to obtain simpler n…
math.OC2021
Necessary conditions to a fractional variational problem
Melani Barrios, Gabriela Reyero, Mabel Tidball
In order to solve fractional variational problems, there exist two theorems of necessary conditions: an Euler-Lagrange equation which involves Caputo and Riemann-Liouville fraction…
math.OC2021
Harvest management problem in a fractional logistic equation
Melani Barrios, Gabriela Reyero, Mabel Tidball
In this article, we study a fractional control problem that models the maximization of the profits obtained by exploiting a certain resource whose dynamics are governed by the frac…