Analysis of some generalized <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si12.svg"> <mml:mrow> <mml:mi mathvariant="italic">ABC</mml:mi> </mml:mrow> </mml:math> – Fractional logistic models
Thabet Abdeljawad, Mohamed Ali Hajji, Qasem M. Al‐Mdallal, Fahd Jarad
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.
Topics & Concepts
UniquenessMathematicsQuadratic equationFractional calculusStability (learning theory)Logistic regressionDerivative (finance)Applied mathematicsLogistic functionStatisticsComputer scienceMathematical analysisMachine learningGeometryEconomicsFinancial economicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods