Solutions of Bernoulli Equations in the Fractional Setting
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.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-06-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/5/2/57 |
| _version_ | 1827689592510218240 |
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| author | Mirko D’Ovidio Anna Chiara Lai Paola Loreti |
| author_facet | Mirko D’Ovidio Anna Chiara Lai Paola Loreti |
| author_sort | Mirko D’Ovidio |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T10:20:47Z |
| format | Article |
| id | doaj.art-bce9c41df51347a984cf8ebc04e10b4c |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T10:20:47Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-bce9c41df51347a984cf8ebc04e10b4c2023-11-22T00:27:47ZengMDPI AGFractal and Fractional2504-31102021-06-01525710.3390/fractalfract5020057Solutions of Bernoulli Equations in the Fractional SettingMirko D’Ovidio0Anna Chiara Lai1Paola Loreti2Dipartimento di Scienze di Base e Applicate per l’Ingegneria, Sapienza Università di Roma, 00161 Rome, ItalyDipartimento di Scienze di Base e Applicate per l’Ingegneria, Sapienza Università di Roma, 00161 Rome, ItalyDipartimento di Scienze di Base e Applicate per l’Ingegneria, Sapienza Università di Roma, 00161 Rome, ItalyWe 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.https://www.mdpi.com/2504-3110/5/2/57Bernoulli fractional equationslogistic fractional equationsfractional growth models |
| spellingShingle | Mirko D’Ovidio Anna Chiara Lai Paola Loreti Solutions of Bernoulli Equations in the Fractional Setting Fractal and Fractional Bernoulli fractional equations logistic fractional equations fractional growth models |
| title | Solutions of Bernoulli Equations in the Fractional Setting |
| title_full | Solutions of Bernoulli Equations in the Fractional Setting |
| title_fullStr | Solutions of Bernoulli Equations in the Fractional Setting |
| title_full_unstemmed | Solutions of Bernoulli Equations in the Fractional Setting |
| title_short | Solutions of Bernoulli Equations in the Fractional Setting |
| title_sort | solutions of bernoulli equations in the fractional setting |
| topic | Bernoulli fractional equations logistic fractional equations fractional growth models |
| url | https://www.mdpi.com/2504-3110/5/2/57 |
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