Analysis of some generalized ABC – Fractional logistic models

By Thabet Abdeljawad, Mohamed Ali Hajji, Q. Al‐Mdallal, Fahd Jarad. Alexandria Engineering Journal, 2019

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Abstract 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.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7c64a0be00678b318986d4860dcfb29303bb9025