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.
- ABC – logistic equations
- Generalized ABC – fractional derivatives
- Generalized ABC – fractional integrals
- Generalized Mittag-Leffler kernel
- Modified ABC – logistic model
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