Numerical Simulation of the Local Generalized Derivative for the Fractional Logistic Model

Authors

  • Juan Eduardo Nápoles Valdes UNNE, FaCENA, Ave. Libertad 5470, Corrientes 3400, Argentina and UTN-FRRE, French 414, Resistencia, Chaco 3500, Argentina Author
  • Melani O. Torres Department of Physics, UNNE, Ave. Libertad 5470, Corrientes 3400, Argentina Author

Keywords:

Fractional logistic equation, N-derivative, Numerical solution

Abstract

Fractional calculus provides a versatile framework for modeling systems with memory and  non-local e ects. This study examines the behavior of a fractional logistic model based on a  local generalized derivative N characterized by a general kernel F(t,α). Various kernel functions  and fractional orders are analyzed to evaluate their influence on system dynamics. Numerical  simulations are compared with analytical solutions to validate the approach and highlight the  impact of different kernels.

Author Biography

  • Melani O. Torres, Department of Physics, UNNE, Ave. Libertad 5470, Corrientes 3400, Argentina

    Department of Physics, Student of the Bachelor's Degree in Physics

Additional Files

Published

06-04-2025

Issue

Vol. 1 No. 1 (2025): Journal of Mathematics and Artificial Intelligence

Section

Articles

License

Copyright (c) 2025 Journal of Mathematics and Artificial Intelligence

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Numerical Simulation of the Local Generalized Derivative for the Fractional Logistic Model. (2025). Journal of Mathematics and Artificial Intelligence, 1(1), 11-22. https://thejmai.com/index.php/journal-of-mathematics-and-artif/article/view/4