Power series solution of the fractional logistic equation

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. (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

By using a series of fractional powers, a representation of the solution to the fractional logistic equation is presented and proven to be the exact solution in the simplest case. Numerical approximations demonstrate the good approximations obtained by truncating the fractional power series.