Power series solution of the fractional logistic equation

Area Carracedo, Iván Carlos; Nieto, Juan J.

doi:10.1016/j.physa.2021.125947

Area Carracedo, Iván Carlos

; Nieto, Juan J.

DATE: 2021-07-01

UNIVERSAL IDENTIFIER: http://hdl.handle.net/11093/2656

EDITED VERSION: https://linkinghub.elsevier.com/retrieve/pii/S0378437121002193

UNESCO SUBJECT: 1202 Análisis y Análisis Funcional

DOCUMENT TYPE: article

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.

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