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

Thabet Abdeljawad, Qasem M. Al-Mdallal and Fahd Jarad

Chaos, Solitons & Fractals, 2019, vol. 119, issue C, 94-101

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.

Keywords: Conformable fractional derivatives; Fractional-order differential equation; Logistic equations; Modified logistic model (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (14)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:119:y:2019:i:c:p:94-101

DOI: 10.1016/j.chaos.2018.12.015

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