Conformable derivative applied to experimental Newton’s law of cooling
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Artículo científico |
| Lingua: | en |
| Pubblicazione: |
Sociedad Mexicana de Física A.C.
2020
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866812485416255488 |
|---|---|
| author | J. Rosales-García |
| author_facet | J. Rosales-García |
| contents | Conformable derivative applied to experimental Newton’s law of cooling J. Rosales-García J. A. Andrade-Lucio O. Shulika Física, Astronomía y Matemáticas practional calculus Newton law of cooling conformable derivative It has been proved that the integer order differential equation does not represent the real behaviour of nature for Newton’s law of cooling. Then, we solve Newton’s cooling law using the conformable derivative; as a result, we obtain the Kohlrausch stretched exponential function. Due to the free parameter 0 < γ ≤ 1, we can fit this function with the graph of the experimental data set. It is shown that the experimental data coincide with those theoretical when γ = 0.77269 and k = 0.018765. 2020 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57082932011 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.66 |
| format | Artículo científico |
| id | redalyc_57082932011 |
| language | en |
| publishDate | 2020 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Conformable derivative applied to experimental Newton’s law of cooling J. Rosales-García Física, Astronomía y Matemáticas practional calculus Newton law of cooling conformable derivative Conformable derivative applied to experimental Newton’s law of cooling J. Rosales-García J. A. Andrade-Lucio O. Shulika Física, Astronomía y Matemáticas practional calculus Newton law of cooling conformable derivative It has been proved that the integer order differential equation does not represent the real behaviour of nature for Newton’s law of cooling. Then, we solve Newton’s cooling law using the conformable derivative; as a result, we obtain the Kohlrausch stretched exponential function. Due to the free parameter 0 < γ ≤ 1, we can fit this function with the graph of the experimental data set. It is shown that the experimental data coincide with those theoretical when γ = 0.77269 and k = 0.018765. 2020 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57082932011 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.66 |
| title | Conformable derivative applied to experimental Newton’s law of cooling |
| topic | Física, Astronomía y Matemáticas practional calculus Newton law of cooling conformable derivative |
| url | https://www.redalyc.org/articulo.oa?id=57082932011 |