In this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. This approach is based on combination of two different methods, i.e. the iterative method cite{35} and the spectral method. The method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numer...

in this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. this approach is based on combination of two different methods, i.e. the iterative method cite{35} and the spectral method. the method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numer...

We solve the logistic differential equation of fractional order and non-singular kernel. The analytical solution is obtained.

Abstract Using a series of fractional powers we present representation the solution to logistic equation is presented. To simplify consider simplest case and prove that power indeed exact solution. Some numerical approximations are presented show good obtained by truncating series.

In this article, we study a fractional control problem that models the maximization of profit obtained by exploiting certain resource whose dynamics are governed logistic equation. Due to singularity problem, develop different resolution techniques, both for classical case and case. We perform several numerical simulations make comparison between cases.

AbstractIn this study, we extend the properties of Mittag-Leffler function that occurs as solution a fractional differential equation. Also, use to solve order mathematical model epidemiology and offer novel technique for obtaining an approximate logistic