TY - JOUR
T1 - Analysis of some generalized ABC – Fractional logistic models
AU - Abdeljawad, Thabet
AU - Hajji, Mohamed A.
AU - Al-Mdallal, Qasem M.
AU - Jarad, Fahd
N1 - Publisher Copyright:
© 2020 Faculty of Engineering, Alexandria University
PY - 2020/8
Y1 - 2020/8
N2 - In this article, some logistic models in the settings of Caputo fractional operators with multi-parametered Mittag-Leffler kernels (ABC) are studied. This study mainly focuses on modified quadratic and cubic logistic models in the presence of a Caputo type fractional derivative. Existence and uniqueness theorems are proved and stability analysis is discussed by perturbing the equilibrium points. Numerical illustrative examples are discussed for the studied models.
AB - In this article, some logistic models in the settings of Caputo fractional operators with multi-parametered Mittag-Leffler kernels (ABC) are studied. This study mainly focuses on modified quadratic and cubic logistic models in the presence of a Caputo type fractional derivative. Existence and uniqueness theorems are proved and stability analysis is discussed by perturbing the equilibrium points. Numerical illustrative examples are discussed for the studied models.
KW - ABC – logistic equations
KW - Generalized ABC – fractional derivatives
KW - Generalized ABC – fractional integrals
KW - Generalized Mittag-Leffler kernel
KW - Modified ABC – logistic model
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U2 - 10.1016/j.aej.2020.01.030
DO - 10.1016/j.aej.2020.01.030
M3 - Article
AN - SCOPUS:85079900665
SN - 1110-0168
VL - 59
SP - 2141
EP - 2148
JO - AEJ - Alexandria Engineering Journal
JF - AEJ - Alexandria Engineering Journal
IS - 4
ER -