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arXiv 2019-12-15 6 views

Analysis of some generalized ABC- fractional logistic models

Abdeljawad, Thabet · Hajji, Mohamed A. · Al-Mdallal, Qasem · Jarad, Fahd

Original · EN

In this article, some logistic models in the settings of Caputo fractional operators with multi-parametered Mittag-Leffer 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.

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