On the conformable fractional logistic models


Abstract:

In this paper, we use a conformable fractional derivative (Formula presented.), with kernel (Formula presented.), in order to study the fractional differential equation associated to a logistic growth model. As a practical application, we estimate the order of the derivative of the fractional logistic models, by solving an inverse problem involving real data. In the same direction, we show the feasibility of our approach with respect to the Ordinary, Khalil et al and Caputo approaches.

Año de publicación:

2020

Keywords:

  • Applications
  • differential equations with fractional derivatives
  • fractional conformable derivatives
  • Fractional integrals

Fuente:

scopusscopus

Tipo de documento:

Article

Estado:

Acceso restringido

Áreas de conocimiento:

  • Modelo matemático
  • Optimización matemática
  • Optimización matemática

Áreas temáticas:

  • Principios generales de matemáticas
  • Álgebra
  • Probabilidades y matemática aplicada