A fractional order cubic differential equation. Applications to natural\n resource management

2021/04/08 by Melani Barrios, Barrios, Melani, Gabriela Reyero +3
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2104.04092

openalex publication_date 2021/04/08 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

An analysis of a fractional cubic differential equation is presented, which\nis a generalization of different versions of fractional logistic equations, in\norder to obtain simpler numerical methods that globalize and extend the results\nalready obtained, and allow the comparison between several methods. The\nexistence and uniqueness of the solution of the fractional cubic problem\nsubject to an initial value are demonstrated, a stability analysis is performed\nand, based on the implementation of numerical methods, a comparison is made\nbetween the different logistic models.\n

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