Power series solution of the fractional logistic equation
Iván Area, Juan J. Nieto
Abstract
Using a series of fractional powers we present a representation of the solution to the fractional logistic equation is presented. To simplify we consider the simplest case and prove that the power series is indeed the exact solution. Some numerical approximations are presented to show the good approximations obtained by truncating the fractional power series.
Topics & Concepts
Series (stratigraphy)Power seriesMathematicsRepresentation (politics)Logistic functionFractional calculusPower (physics)Applied mathematicsExact solutions in general relativityMathematical analysisStatisticsPhysicsPolitical scienceQuantum mechanicsLawPoliticsBiologyPaleontologyFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical functions and polynomials