Abdeljawad, ThabetAbdeljawad, ThabetHajji, Mohamed A.Jarad, FahdAl-Mdallal, Qasem M.Jarad, FahdMatematik2020-05-132020-05-132020Abdeljawad, T...et al. (2020). "Analysis of Some Generalized Abc – Fractional Logistic Models",Analysis of Some Generalized Abc – Fractional Logistic Models.1110-01682090-2670https://doi.org/10.1016/j.aej.2020.01.030In 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 equilib-rium points. Numerical illustrative examples are discussed for the studied models. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).eninfo:eu-repo/semantics/openAccessGeneralized Mittag-Leffler KernelGeneralized Abc - Fractional DerivativesGeneralized Abc - Fractional IntegralsAbc - Logistic EquationsModified Abc - Logistic ModelArticle5942141214810.1016/j.aej.2020.01.0302-s2.0-85079900665WOS:000563769700009Q1Q1