Power series solution of the fractional logistic equation

I. Area and J.J. Nieto

Physica A: Statistical Mechanics and its Applications, 2021, vol. 573, issue C

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.

Keywords: Logistic differential equation; Fractional calculus; Fractional logistic differential equation (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:573:y:2021:i:c:s0378437121002193

DOI: 10.1016/j.physa.2021.125947

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