Fractional Logistic Models in the Frame of Fractional Operators Generated by Conformable Derivatives
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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
ORCID
Keywords
Conformable Fractional Derivatives, Fractional-Order Differential Equation, Logistic Equations, Modified Logistic Model, logistic equations, Qualitative investigation and simulation of ordinary differential equation models, modified logistic model, Numerical methods for functional-differential equations, conformable fractional derivatives, fractional-order differential equation, Fractional ordinary differential equations, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Stability of solutions to ordinary differential equations
Fields of Science
0103 physical sciences, 01 natural sciences
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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OpenCitations Citation Count
115
Volume
119
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94
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101
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Scopus : 134
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