Analysis of some generalized ABC- fractional logistic models
General Mathematics
2019-12-19 v1
Abstract
In this article, some logistic models in the settings of Caputo fractional operators with multi-parametered Mittag-Leffer 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.
Cite
@article{arxiv.1912.08599,
title = {Analysis of some generalized ABC- fractional logistic models},
author = {Thabet Abdeljawad and Mohamed A. Hajji and Qasem Al-Mdallal and Fahd Jarad},
journal= {arXiv preprint arXiv:1912.08599},
year = {2019}
}
Comments
4 figures, 15 pages