Fractional-Order Logistic Differential Equation with Mittag–Leffler-Type Kernel
Iván Area, Juan J. Nieto
Abstract
In this paper, we consider the Prabhakar fractional logistic differential equation. By using appropriate limit relations, we recover some other logistic differential equations, giving representations of each solution in terms of a formal power series. Some numerical approximations are implemented by using truncated series.
Topics & Concepts
MathematicsLogistic functionType (biology)Limit (mathematics)Kernel (algebra)Series (stratigraphy)Differential equationLogistic regressionPower seriesOrder (exchange)Applied mathematicsMathematical analysisFormal power seriesPure mathematicsStatisticsEcologyPaleontologyEconomicsFinanceBiologyFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisIterative Methods for Nonlinear Equations