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

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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.

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Conformable Fractional Derivatives, Fractional-Order Differential Equations, 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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Chaos Solitons & Fractals

Volume

119

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94

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101