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Fractional logistic models in the frame of fractional operators generated by conformable derivatives
Journal article   Peer reviewed

Fractional logistic models in the frame of fractional operators generated by conformable derivatives

Thabet Abdeljawad, Qasem M. Al-Mdallal and Fahd Jarad
Chaos, solitons and fractals, Vol.119, pp.94-101
01/02/2019

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Physics Physics, Mathematical Physics, Multidisciplinary Science & Technology
In this article, we study different types of fractional-order logistic models in the frame of Caputo type fractional operators generated by conformable derivatives (Caputo CFDs). We present the existence and uniqueness theorems to solutions of these models and discuss their stability by perturbing the equilibrium points. Finally, we furniture our results by illustrative numerical examples for the studied models. (C) 2018 Elsevier Ltd. All rights reserved.

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