We present a general series representation formula for the local solution of the Bernoulli equation with Caputo fractional derivatives. We then focus on a generalization of the fractional logistic equation and present some related numerical simulations.

Solutions of bernoulli equations in the fractional setting / D’Ovidio, Mirko; Lai, Anna Chiara; Loreti, Paola. - In: FRACTAL AND FRACTIONAL. - ISSN 2504-3110. - 5:2(2021), p. 57. [10.3390/fractalfract5020057]

Solutions of bernoulli equations in the fractional setting

D’Ovidio, Mirko;Lai, Anna Chiara;Loreti, Paola
2021

Abstract

We present a general series representation formula for the local solution of the Bernoulli equation with Caputo fractional derivatives. We then focus on a generalization of the fractional logistic equation and present some related numerical simulations.
2021
Bernoulli fractional equations; logistic fractional equations; fractional growth models
01 Pubblicazione su rivista::01a Articolo in rivista
Solutions of bernoulli equations in the fractional setting / D’Ovidio, Mirko; Lai, Anna Chiara; Loreti, Paola. - In: FRACTAL AND FRACTIONAL. - ISSN 2504-3110. - 5:2(2021), p. 57. [10.3390/fractalfract5020057]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1563685
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