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Solutions of Bernoulli Equations in the Fractional Setting

Dipartimento di Scienze di Base e Applicate per l’Ingegneria, Sapienza Università di Roma, 00161 Rome, Italy
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Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editors: Manuel Ortigueira and Duarte Valério
Fractal Fract. 2021, 5(2), 57; https://doi.org/10.3390/fractalfract5020057
Received: 5 May 2021 / Revised: 9 June 2021 / Accepted: 13 June 2021 / Published: 17 June 2021
(This article belongs to the Special Issue Fractional Behavior in Nature 2021)
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. View Full-Text
Keywords: Bernoulli fractional equations; logistic fractional equations; fractional growth models Bernoulli fractional equations; logistic fractional equations; fractional growth models
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MDPI and ACS Style

D’Ovidio, M.; Lai, A.C.; Loreti, P. Solutions of Bernoulli Equations in the Fractional Setting. Fractal Fract. 2021, 5, 57. https://doi.org/10.3390/fractalfract5020057

AMA Style

D’Ovidio M, Lai AC, Loreti P. Solutions of Bernoulli Equations in the Fractional Setting. Fractal and Fractional. 2021; 5(2):57. https://doi.org/10.3390/fractalfract5020057

Chicago/Turabian Style

D’Ovidio, Mirko, Anna C. Lai, and Paola Loreti. 2021. "Solutions of Bernoulli Equations in the Fractional Setting" Fractal and Fractional 5, no. 2: 57. https://doi.org/10.3390/fractalfract5020057

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