Analysis of some generalized ABC- fractional logistic models

Thabet Abdeljawad; Mohamed A. Hajji; Qasem Al-Mdallal; Fahd Jarad

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arXiv · 1912.08599

Analysis of some generalized ABC- fractional logistic models

Thabet Abdeljawad·Mohamed A. Hajji·Qasem Al-Mdallal·Fahd Jarad

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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.

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BibTeX RIS

Thabet Abdeljawad, Mohamed A. Hajji, Qasem Al-Mdallal, Fahd Jarad. 2019-12-15. Analysis of some generalized ABC- fractional logistic models. https://arxiv.org/abs/1912.08599

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