Analysis of some generalized ABC – Fractional logistic models

In this article, some logistic models in the settings of Caputo fractional operators with multi-parametered Mittag-Leffler kernels (ABC) are studied. This study mainly focuses on modified quadratic and cubic logistic models in the presence of a Caputo type fractional derivative. Existence and unique...

Full description

Saved in:
Bibliographic Details
Published in:Alexandria engineering journal 2020-08, Vol.59 (4), p.2141-2148
Main Authors: Abdeljawad, Thabet, Hajji, Mohamed A., Al-Mdallal, Qasem M., Jarad, Fahd
Format: Article
Language:English
Subjects:
[formula omitted] – logistic equations
ABC – logistic equations
Generalized [formula omitted] – fractional derivatives
Generalized [formula omitted] – fractional integrals
Generalized ABC – fractional derivatives
Generalized ABC – fractional integrals
Generalized Mittag-Leffler kernel
Modified [formula omitted] – logistic model
Modified ABC – logistic model
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article, some logistic models in the settings of Caputo fractional operators with multi-parametered Mittag-Leffler kernels (ABC) are studied. This study mainly focuses on modified quadratic and cubic logistic models in the presence of a Caputo type fractional derivative. Existence and uniqueness theorems are proved and stability analysis is discussed by perturbing the equilibrium points. Numerical illustrative examples are discussed for the studied models.
ISSN:1110-0168
DOI:10.1016/j.aej.2020.01.030