Journal
CHAOS SOLITONS & FRACTALS
Volume 119, Issue -, Pages 94-101Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2018.12.015
Keywords
Conformable fractional derivatives; Fractional-order differential equation; Logistic equations; Modified logistic model
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Funding
- Prince Sultan University [RG-DES-2017-01-17]
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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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