TY - JOUR
T1 - Fractional logistic models in the frame of fractional operators generated by conformable derivatives
AU - Abdeljawad, Thabet
AU - Al-Mdallal, Qasem M.
AU - Jarad, Fahd
N1 - Funding Information:
The first author would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17.
Publisher Copyright:
© 2018
PY - 2019/2
Y1 - 2019/2
N2 - 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.
AB - 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.
KW - Conformable fractional derivatives
KW - Fractional-order differential equation
KW - Logistic equations
KW - Modified logistic model
UR - http://www.scopus.com/inward/record.url?scp=85058810274&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85058810274&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2018.12.015
DO - 10.1016/j.chaos.2018.12.015
M3 - Article
AN - SCOPUS:85058810274
SN - 0960-0779
VL - 119
SP - 94
EP - 101
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
ER -