Fractional logistic models in the frame of fractional operators generated by conformable derivatives
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Date
2019
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Pergamon-elsevier Science Ltd
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Abstract
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.
Description
Jarad, Fahd/0000-0002-3303-0623
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Keywords
Conformable Fractional Derivatives, Fractional-Order Differential Equation, Logistic Equations, Modified Logistic Model
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Citation
Abdeljawad, Thabet; Al-Mdallal, Qasem M.; Jarad, Fahd, "Fractional logistic models in the frame of fractional operators generated by conformable derivatives", Chaos Solitons & Fractals, Vol. 119, pp. 94-101, (2019).
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Volume
119
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Start Page
94
End Page
101