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Analysis of Some Generalized Abc – Fractional Logistic Models

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2020

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Elsevier B.V.

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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.

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Generalized ABC – Fractional Derivatives, Generalized Mittag-Leffler Kernel, ABC – Logistic Equations, Generalized ABC – Fractional Integrals, Modified A

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Abdeljawad, T...et al. (2020). "Analysis of Some Generalized Abc – Fractional Logistic Models",Analysis of Some Generalized Abc – Fractional Logistic Models.

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Alexandria Engineering Journal

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