A New Approach to Solve Fractional Logistic Growth Model and Its Numerical Simulation

Abstract

AbstractA fractional logistic growth model is solved by using a new definition of fractional derivative and integration. This new definition of fractional derivative is called conformable fractional derivative of order α (0 < α ≤ 1). The present paper describes the solution of fractional logistic growth model apart from the concept of other fractional derivatives viz., Riemann–Liouville and Caputo type. A numerical simulation is done by taking different values of parameters involved in the fractional logistic growth model for different α’s (0 < α < 1).KeywordsLogistic growth modelFractional derivativesConformable fractional derivative